The first two points depend on the creatures to which the spells are applied; they have nothing to do with the magic itself. The remaining three are made up, and it's obvious that the damage is different and the schools of magic are different, but the essence is the same: inflicting direct damage to a creature. There's nothing wrong with this being within one school (or separate spells from different schools), but when different schools only have a visual difference, that's bad.
1. Physical damage from the spell, suitable for creatures with magic resistance. Where a Golem is powerless, a Fist will be effective.
2. This is the only direct damage spell from the Summoning school (Hive doesn't count). This is quite a significant difference.
3. The point about chains is also valid.
Or what should the Fist do? And this is just one skill out of different schools.
Except the ones we've made