After the turn timer in Heroes, the SOD (Sudden Death) time limits are quite annoying.
Here are two examples in favor of a quick time limit.
1) Dreamcatcher, while working at the university, once gathered all his friends for a Heroes tournament, around 2002. He even created somewhat playable random maps. They played Heroes without dungeons. I agreed with everyone to play with a 2-minute limit, and only one player asked for 4 minutes. But 2 players from our group either forgot or didn't want to set a limit and played with no limit. One player couldn't stand it when his opponent took 30 minutes per turn. In the end, it turned out that the opponent was looking for the Grail. :)
2) January 2010. Siberian qualifier. Mike was playing against Dirty Player. Heroes Lite 1800+300. After 8 hours (or 243 turns) of the game, Dirty Player said: "If we were playing with no limit, we would be in the 2nd week right now."