I've raced crits my entire career (mostly p/1/2) and really don't find 5s power useful for these situations.

Earlier it was mentioned that 5 s and 1 min is needed to close a 30 second gap, and then this suggests it's helpful for closing gaps, but I have a 1400 watt sprint and I will maybe go over 1000 watts 2-3x in a 60-90 minute race, and then that's only when attacking, going for a prime, or in the final sprint.

Closing gaps is never, ever about a max effort sprint. Frankly, that'd do me no good as the recovery needs would then ensure I get spit out the back of whatever group I just bridged up to.

Also, a 30 second gap is pretty much impossible to close in a minute or other such short amount of time. Think of the speed differences. At 20 mph, you'd have to do 40. At 25, you'd have to do 50. And I definitely don't see how it'd help with pulls. If you're going anywhere near your one minute max when taking pulls, you're going to blow up in very short order. That needs to be massively aerobic, more along the lines of 5 minute power at a max early on, and settling down substantially after that.

Personally, in bike races, a ~10 second gap is the maximum amount of time I can bridge as that takes right around 60-75 seconds at 550-600 watts. Any gap larger than that would require a substantially more metered effort (and at 28-30 mph, I don't have that ability).

For closing gaps, I'd focus way more on 1-5 minute power. Sprinting is really a very specific thing that should only be used in very specific instances and not something that should be repeatedly done in the middle of a race, in my opinion.