If your opponent has full control, and you don't, and the map hasn't been fully explored, then you are completely wrong. If, as you say, "experienced players" simply rushed to the Fortress of the Beast in such situations, then, for example, Cobra wouldn't have won anything at all. The so-called "Fortress of the Beast strategy" is applicable only in offline Tournaments, where real time is limited. But online, slowly grinding in the late game, thanks to better control, is a normal situation.
Added 4 minutes later
This doesn't change the essence. Even if it's S-U.
In all the tournaments I've judged and organized, there has never been such a rule in the online tournament regulations. In chess, do you also try to persuade your opponent to move their king closer if the game has dragged on?
Dirty, I might be wrong in Heroes - I'm not that experienced.
Dirty, to give examples with chess, you need to have a rank or title (like Evil and others). In chess, there is a rule of 50 moves - I don't think you know it. Google it.