I've played full court press more than most and I have an idea of how pace and stamina can play a part in the game.
(82481978)This game illustrates everything you're thinking. If you watch the last 3 minutes or so you'll see what happens when stamina is depleted. Virtually every shot by both sides is scored. It really is almost comical how bad both teams were by that point. I believe both teams had similar stamina but if yours is higher I suspect your team will score at will late, and the opponent won't.
The risk would be that full court press lowers your ID and OD, so you'd need higher levels than your opponent, but I truly believe in the right circumstances full court press can be successful.