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You are dealing 200% Melee with the Spell, but the Spell itself deals 100% Melee and then your turn does 100% Melee, this means that the Spell is a boost of +100% Melee damage.
When you apply a Spell Boost on a Spell and treat it as 200% Melee you are actually applying the boost not only on the Spell but also on your normal turn you spent which is 100% Melee for a Warrior. This means that the actual % spell damage boost for Melee would have to be modified by * 100% Melee (normal attack turn) / 200% Melee (total Spell Damage)
This falls in line with the current Spell Damage formula AND it is in fact based on the Warrior Melee Level model.

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For a Mage however, the things change drastically when trying to boost a spell because they are paying 125% Melee in MP instead of 100% to reach 200% Melee and their turn is doing 75% Melee, when you are appying a spell boost on the entire Spell as it is now, you are applying a buff on the 125% Melee Spell + 75% Melee Mage turn instead of 100% Melee Spell and 100% Melee Warrior turn. They are paying more MP for the same spell to reach the same 200% Melee this means we are already factoring their turn as 75% Melee on the turn the Spell is cast. The spellboost should not be calculated at Warrior Melee Level but Mage Level when calculating their turn.

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The difference is that Spell Damage contribution to Warriors is less than for Mages, yes you are paying more resources to reach that as a Mage (more exactly 25% more Melee in MP BUT you do get compensation by doing +25% more Melee damage boost because you are not doing 175% Melee in total but 200% Melee), but there is an extremely problematic thing that appears due to this, Spell Damage boost /2 for Warriors effectively makes a boost of +100% Melee(Spell Contribution) into +100% Melee/2 as spell damage.
The math checks out that +10% Damage on a normal attack is 10% Melee and 5% Spell Damage on a spell is also 10% Melee.

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However it also makes it that Mages +125% Melee Spell Contribution /2 (when applied using the Warrior turn model) is higher than Warriors and the spell boost applied like this is unfair.
For example, a boost of +10% Damage for normal attack is 10% *75% Melee (7.5% Melee) and a +5% Spell damage on a spell is 10% Melee.
This explains and verifies that you need *4/3 more boost for normal magic weapons and why it is needed to exist.

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When we are paying 25% more MP than a Warrior it means that the Spell we use does more damage to us than a Warrior Spell since we are paying *1.25 more resources, if our Spell did +100% like a Warrior spell then we would have the same overall boost when we would do /2. It is worth noting that we do not fall into "Efficient" traps, a Warrior spell is NOT more Efficient or anything like this,you are not paying less but get higher efficiencies values per resource here in both cases.

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+100% Melee Damage (Warrior) / 2 is not equal to +125% Melee Damage (Mage) / 2