I have little issues with having 1 person use a limit break. All I'm interpreting from this, is basically "I want to be the one to use limit breaks!!! *cries like a twelve year old*"

But anyway, don't worry about it. Endgame you'll be able to use level 3 limit breaks more than once. (looking at you ifrit(hard)).
Or you'll have instances where you have a moment where you spam the limit break.