HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

No problem at all, players should also manage their units, manually purchase items, figure out where to move, manage heroes and cities, and so on. Should I continue?

Managing individual units, purchasing items, ("figuring out where to move":confused:), managing heroes in the list – all of this consumes only time.

For turn order in battles, knowledge is needed. First and foremost, knowledge of the game mechanics. Moreover, knowledge alone is not enough; you need a good memory to remember who went after whom and keep track of everything. And only then comes time-saving. You're suggesting that any noob who has no idea who goes after whom and how it works should simply have an initiative bar. That is, to guide the game down the path of simplification. I repeat, it's not just about saving time, but also about simplifying the gameplay itself.

It's a good idea, but not for SoD. For WoG, in my opinion, it's a great idea; it would comfortably fit alongside disabling morale for neutrals, disabling the greased stack, buying movement points for a hero, and other "papal features."

The essence of the mod is to simplify already simple things. Okay, forget about cons and hives; not everyone knows the turn order in these buildings, but what's wrong with simplifying battles?

Forget about cons and hives; the turn order is simple. But again, new rounds, morale, someone is waiting, who went after whom – you need to remember all of this, and you're suggesting simply eliminating the whole process by replacing it with a bar.

No problem, I can set the graphics to minimum, disable hardware acceleration, and run to my neighbor for a notebook and pen to draw the battlefield and record which stack went where and who will go next (especially for those who are against it here; that's what I'll do)...

Yeah, who needs you?! You can not play Heroes at all. Or you can play. Ultimately, everyone doesn't care. Do as you say. Intentionally delay your turns. Put yourself in the category of slow players, and after some time, I'll see who you'll be playing with.

But that's exactly why the chess timer was created, and thank goodness it's already implemented.