Lot of it has to do with which characters are involved. Whom were you playing/fighting?

Swain versus Nunu in LoL, for instance, will usually end in Swain chipping away for several minutes (early game) whereas Nunu can get the kill easily. Your build in terms of items and so forth can also be a factor, but early game it's often down to just who each person is playing.

Additionally, early game in most MOBAs you're hopefully not sticking in a fight long enough to kill/be killed. DOTA seems to be more aggressive in this regard, and LoL has the four-man toplane ganks, but usually you're chipping until someone can come into your lane and provide an assist or you can get a combo off.

Also, Infinite Crisis's 5 control-point map evokes LoL's Dominion matches, which mean death happens faster and more easily than in a traditional tri-lane game. That's balanced by it mattering FAR less than in those games.