P.S. IMHO, chess clocks with time limits in battles are more interesting. This is the main reason why I like TE-lite.

Haha, so that's the main reason, and the rest isn't that important, is it? ;) I've been playing Heroes for 10 years, and one of the most important reasons is the convenience and the lack of need to rush. Those who like the thrill should go to Starcraft and CS; Heroes isn't for that. IMHO.
P.S. I mainly play with experienced and strong players, and very rarely do I think they take too long to make their moves, and I don't think I drag things out either. And unlimited time is awesome; if an opponent takes half an hour for each turn (I haven't encountered such players), then few people will want to play with them a second time. IMHO.