Introduction of Haven in the Stronghold vs. Dungeon tournaments.

Trying to turn a fan-made, cute game built on an engine from the last century (yes, that's the same analog landline phone) into a modern financial platform is, at the very least, irrational.

It is indeed irrational. What kind of modern financial platform can exist with a couple of hundred customers who are used to spending 0 money on their hobby, when there is an absolutely free alternative (HotA) of their own making?

For example, I have absolutely no idea what the Creator of this site's motivation is, but I think he is a philanthropist.

And what is the motivation of the creator of the HD mod? In 2009, a cunning plan was devised to make a modest amount of money from a couple of hundred people after 9 years of development, or something like that?

By the way, the copyright holders might take an interest in this, strangely enough.

They might, but they won't. If there were at least a couple of tens of thousands of buyers instead of a couple of hundred, they probably would.
In general, I'm not selling or even distributing their product or parts of it. I'm selling a service and functionality of my own development. The only thing is that their brand is sometimes used (for example, the logo in the launcher), but I can easily get rid of it: "Heroes" - no, "for Heroes" - yes.
GameRanger does (in the case of the lobby) approximately the same thing and earns money from advertising and paid gold accounts. The creators of the paid Exagear earn money for the ability to run Heroes on Android.
And I am more than sure that neither the authors of GameRanger nor Exagear have any agreements with Ubi or permissions from them.
Yes, my product is integrated into the game itself, and this is impossible without reverse engineering the original. And reverse engineering Heroes is prohibited by the user agreement and, therefore, by the law of the Russian Federation, at least.
But in case of real problems, I can move the lobby functionality with HotA to external software without significant loss of convenience for users.

He, as a programmer, is well aware of all these kinds of shareware or proprietary applications...

I am as much of a programmer as you are a professional esports player.
I earn money by repairing, servicing, and selling bicycles.
If I were a real programmer, I would have spent those 9 years that I spent on Heroes on much more profitable programming.

And the dynamics of income will be on a downward trend.

yes, it will.

I won't pay for any software in principle, because it's not worth it.

This is really unpleasant and offensive to read.
I read this as: "I won't pay for software because it's not worth a penny" and, therefore, as:
"the labor and time spent on creating this software are not worth a penny."
I can understand such a justification of one's position: "Suck my long cock stupid fat fuck, I have better ways to get rid of my money, papashka shit. Go search better ways", or something like: "the author has completely lost it", but what you wrote - no.

It is obvious that money plays a role here. And not some kind of progressive aspirations of players to save time.

I completely agree with this.

I myself used HotA when possible. It saves time. But there is also a huge problem when the course of events is disrupted. This has happened more than once in a tournament. And a lot of time and emotions are spent on analyzing the situation.

So far, it seems to me that the main problem is that many people do not realize and do not fully understand how HotA works, hence all the emotions.
And if there are problems, why not state them, clearly formulating them? And why not suggest solutions?
Sir Davos even wrote somewhere recently about a lot of bugs in HotA, among which there are significant ones. But what these bugs are - is apparently a secret.