Nobody skips the warmup and then wins because of it. They just pull something.

The preparation stage has no visible payoff, which is why it is the first thing dropped when you are short on time. It is not part of the performance and it is what makes the performance possible without injury. Skipping it does not give you back the ten minutes. It borrows them against something that will cost you weeks.

Treat the warm up as part of the session rather than an optional preamble, in training and everywhere else. The few easy minutes before the hard conversation, the difficult task, the game. If time is short, shorten the main part instead.