I start listening right away, and the amp and linestage sound very good within a few minutes; I don't fret over whether the sound is at any sort of absolute peak. But, I do know someone who complained about the sound of his amps and how long they took to warm up. The dealer/builder of these custom amps could not figure out why they were failing to please the customer until he heard the amps in the customer's home, under the owner's listening conditions. It turned out that the owner only listened for short periods and would turn the amps on and immediately start to listen, while the dealer/builder kept the amps on all day. The issue wasn't tube warmup, it was the capacitors used in the amps. The amps had Blackgate capacitors, and when they were swapped out for other capacitors, the warm up became MUCH shorter. It turned out that Blackgates take a very long time to warm up and stabilize.
I have the same sort of issue with my music server which is a solid state unit. The manufacturer recommends leaving it on all of the time and claims it does not sound its best until about 24 hours after being turned off for a few hours. This has to do with the capacitors in the power supply of the unit.