I completely agree with what @afterlifex has said. Locking some specific effects to melee only would be the way to go with this situation. The 2 major issues I see with warrior at the moment on the competitive side is that:
1). They lack utility relative to other builds
2). They lack the competition to rival the "blood" boosts of mages
The second issue applies to other builds of course, as beast builds without INT suffer from the same problem (BoW somewhat alleviated the problem, but is still not nearly on the same scale). It does not however make it any less vital to address the situation. To address the first issue, a simple way to get around it would be to create some more utility melee weapons. Of course that statement is a little vague, so I'll be a little more specific:
A major thing we see with mage builds is the variety of spells, both damage and utility, at our disposal. We have gandolphin for mana shields, tome of cerberus for chi shields. and multiple other status effects are locked behind mage only spells. An example of this would be chocolate syrup, which sacrifices a good half of it's damage just to inflict a powerful daze onto the enemy. In comparison, the only real melee weapon a warrior has to combat this kind of potent status effect is the toxic gladius and even that has a melee/magic toggle! For thermal shock, mages have had access to drakonnan's fury for half a decade, with warriors not getting even an option until earlier this year (boiler buddy) and even then it wasn't limited to warriors, AND behind a donation barrier. Mages can even benefit from moonwalker's grace, a spell which allows them to literally buff their own stats. Warrior's don't even have a shield with an STR drive, let alone a weapon that can do something of a similar nature. This comparison only becomes more stark when you start looking at weapons. Mages have access to weapons such as big dictionary, a weapon with an in-built spell that can boost your mrm. Warriors have nothing exclusive to them that can even come close. Similarly, prismatic paintbrush, is currently the only item that can inflict the "new" the cold status effect, and is solely magic (not sure why prismatic paintbrush doesn't inflict a prismatic burn, but that's a conversation for another day). I could carry on for quite some time throwing out additional examples of items locked to mages where warriors have no equipment, but that would definitely be moving down a tangent.
It's pretty obvious that in terms of utility, warriors are totally outmatched, and a really quick way to solve the problem would just be to provide more melee weapons/warrior items with utility effects solely based for warriors. A shield with an STR drive to give warriors something equivalent to celtic wheel. Simple things like this will help put warriors on a more even footing. We have a multitude of status effects unused for warrior, notably chi shield (cerberus ward scales with INT, we could use one that scales with STR, or END, or anything that isn't INT at this point). Other examples of this would be the cold, the different elemental freezes (haven't got anything for some of these yet) and prismatic burn. We also have status effects monsters have access to but players currently don't. Examples of this would be "devoured" (the titanus boss), "necrotic link" (undead limkragg), and "haunted" (the wicked king). Obviously, these would have to be correctly scaled and modified for player usage, but there's nothing to stop them from being applied to an item specifically designed for warriors to help them even up the competitive scene. [Insert shameless plug here] If you're having trouble coming up with some ideas, the suggestion forums have some really interesting and unique takes on the ideas. I deliberately design most of the items in my thread to be as unique as I physically can because a lot of specific status' and ideas are underutilised. A lot of my suggestions are made with mages in mind, but there's nothing to stop some of the ideas being properly translated into warrior only utility. However, to put this into practice, how about a melee weapon with a toggle quickcast SP skill to give you +87 STR for 3 rounds, much like moonwalker's grace does for DEX.
The other side of this issue is of course warriors lacking a competitive edge to match the bloodmage armours. Now of course, an easy fix to that solution would be just to create respective "blood-warriors" but honestly I don't feel like this is the way we should be going here. Bloodmages are already pretty divisive in that some people love them, and others think they go too far in terms of nukable potential. I think adding something like "blood-warrior" would just end up with further power creep and more intense division between warriors as to whom wants to use them or not. Having an item change the warrior meta doesn't necessarily have to be done in exactly the same way as bloodmage does for mages to make them competitive, and I'm not sure exactly how many people would support it anyway. I haven't really come up with a decent solution to this particular problem as of yet. With that said, adding utility to warrior inventories is definitely going to give them more of a competitive edge to them than they have currently, and would at least give players an option should they not want to go down the nuke route. Again, completely agree with @afterlifex in that whilst warrior only nukes would definitely get more people interested in warriors, saturating the market would probably not be the best way to solve the situation.
I think there's a lot of potential scope for warrior's to be changed up as long as those 2 major issues are addressed. By addressing those 2 issues, I think you solve the issue of the warrior build's lack of competitiveness. Of course, rearranging the game balance to suit warriors is also an option, but it seems really rather unnecessary when the problem is more equipment based. I also totally disagree with changing how SP works because mages also use SP.