Definitely depends on the flight and the delay.
8 hour delay for a two hour trip up the coast? Yep I've changed to an earlier flight in Y to get home faster in that case. I've also noticed available upgrade space on 6am flights for similar length and stuck with my current flight, the upgrade isn't worth having to wake up and get to the airport that early.
But for a transcon? I'd gladly relax a couple extra hours at the lounge and take the seat in first. Did exactly that just a few weeks ago, took a later flight from IAD to SEA just because there was upgrade space available, and spent the extra time in the Air France lounge. Would definitely do it again.