What kind of magic do you like?

They can.
In Heroes, the description of Anti-magic is: "the target gains immunity to magic for the duration of the battle.
Features: when Anti-magic is cast, it acts identically to the Dispel spell; Anti-magic does not prevent the spells Town Gate (unless it is cast on the hero using Town Gate), Stun, Binding, and Smoke, and does not prevent increasing the stack of summoned units using the corresponding Summon spells.
Possible errors related to the spell: Anti-magic does not remove the spells Poison and Plague, and the target continues to take damage from these spells.
It is also present in the game as a property of Black Dragons (passive)."
I don't see anything similar to what you're saying.
P.S. Kind people, maybe someone can explain this interesting situation :).
P.S. 2 Maybe we have different versions of Heroes? I have 3.0.0.2.

It's really strange. But as far as I remember, I never cast it on a hero, because after that, when I clicked on the spellbook, a message always appeared saying that the hero supposedly has immunity to magic, and Phoenixes definitely couldn't be resurrected after that. And I also don't understand, what does the comparison of Anti-magic and Dispel have to do with it in this description? "Acts identically to the Dispel spell" - what does that mean? These are two completely different spells. The fact that an enemy hero can "escape" using Town Gate, yes. Because Anti-magic only affects the target. Stun, Binding, and Smoke also work because they are not magic. Summon also works after being cast on summoned creatures, but not on the hero!! In short, it's unclear. Maybe someone can help, explain? I recently bought licensed versions of Heroes and didn't find a code key on the disc, but a couple of years ago I bought licensed versions of the original and Heroes, and there was always a code key on the front of the disc that had to be entered. Without it, the game wouldn't start. Also, now I have Heroes without a disc at all ).