well, the question isn't only about stamina, although that is one aspect of the question. Your offensive flow is pretty important too, as are fouling issues.
generally speaking, good stamina and driving favor LI, as does low fouling. Conversely, relatively bad stamina, good passing and high fouling would mean LP is the better option.
And then there's the question of the opponent. If your opponent has the better defense than your offense, fast-paced attacks are more useful. If you expect your opponent to be better offensively, though, you'll want to run a slow offense so you get a better shooting percentage.