Different enchantment strength by weapon class?

I checked a light hammer and a war axe. When enchanted on the same level (here “depleting”), the “per hit” damage to magicka is markedly different! Does this depend upon weapon class (light, versatile,heavy) or materials (silver, dwarven)?

Is the difference such, that it is exactly counterbalanced by weapon speed?

TLDR: My question is motivated by my desire to craft a weapon which can quickly limit enemy magicka in arena. At the very low levels where I fight, my opponents don’t watch their fighting at all, but quickly finish me with a couple of spells. I will of course adapt my skill tree over time, but as it stands, such a weapon would be nice.