Heroes of sword or magic?

But meeting him on the 2nd week would also be an unpleasant affair.

I can tell you for sure that in Heroes 3 on random, a mage is weaker.

For example, take the Jebus Cross template; you'd have to be a desperate person to pick Solmyr. Because by the second week, Dragon Utopias are already being taken (by warriors) (and some even crack them on the first week). Solmyr can only nervously smoke on the sidelines. Meanwhile, by the middle of the second week, someone can come to you with Implosion, Armageddon, Chain Lightning, Resurrection, and attention (if needed) they'll put on the Red Orb.
How is he supposed to go to a Utopia? He's even afraid to go into the Griffin Conservatory.

This is for a clear illustration.

And if we take the SMK popular here, then on the first week you build 1-6 in Citadel/Castle or 1-7 in Fort, buy the growth, take all the tasty stuff at the Hive respawn and Conservatory, and go stomp-stomp to the Treasury. Preferably, have Expert Tactics and Air for Mass Haste on top of all that. Even if the mage comes to rush, we calmly give him our main town — it's no longer needed. Meanwhile, we're farming Wyverns from the Hives and cracking the Utopia (where again there's a high chance to find the Cloak or the Red Orb), then we come back (around the 3rd week) and shove his Lightning bolt up his rear.

Why is a warrior stronger? Discussed 100 times already: because it's easier to make a mage out of a warrior.

As a warrior, you quickly crack Hives, farm a powerful stack at the Conservatory, and can either crack the Utopia or grab cool artifacts from the ground. As a result, after getting these artifacts, you become stronger than a mage in both combat and magic stats, while he will be replenishing mana in the town losing tempo. And the Red Orb finishes everything in the warrior's favor without any options.

The difference is only in the specific hero's specialization and stats, but the latter can be fixed with artifacts.

Well now I think it's clear who will fix that faster :D

Yes, it's obvious that there's no point running around as a mage for 3-4 months! Especially since no one plays that long anyway.

Well, I didn't say 4 months. I only meant 2-3 (4) weeks

It's not about the map, but about the game time. Again, you shouldn't drag the game out.

Actually, it is also about the map. For example, on an S map, reaching the opponent is much easier and faster than on an XL with an underground, rather than the opposite.

Added after 13 minutes

5p74
And it also depends on the mage. If it's a specialist in things like Stone Skin, Bloodlust, Resurrection, Prayer, then the Utopia is taken simultaneously with a warrior.

Now that's truly funny :D