I appreciate all the replies, but I think I'm being mis-read here. I'm not advocating for standby switches or asserting that there's a problem they solve. I'm also not trying to make a decision about whether to put one in a build or not. I'm well aware that plenty of amps are built without standby switches and have no issues.
I'm trying to understand
WHY this set of circumstances is not a problem.
Got an example?
This one has 30uF on HT, 100uF on the bias.
https://el34world.com/charts/Schematics/files/Ampeg/Ampeg_g15_gemini_ii.pdf...the bias supply would have to be perhaps an order of magnitude larger than usual for that to be the case.
This one has 60uF for HT, 1000uF for the bias, and the bias supply has a 120k series resistor before the cap to make the RC constant even bigger.
https://el34world.com/charts/Schematics/files/Mesa_boogie/Boogie_subwayrocket.pdfConsider that a decade’s worth of production of Marshall 50W models wired the AC feed to the bias supply after the standby switch. So HT was applied to hot valves with, momentarily, zero bias.
It’s appallingly bad design and the life of the output valves is surely affected, but the valves don’t immediately explode, amps are still running like that 50 years later.
https://www.thetubestore.com/lib/thetubestore/schematics/Marshall/Marshall-JMP-Lead-50W-1987-Schematic.pdf
This is what I'm looking for. If I'm getting what you're saying, it's that there is an excess current condition in these situations, but for the length of time in question it doesn't matter, at least in the short term. Please let me know if I'm understanding you wrong.
This set of circumstances might be less common than I thought. I happen to own these two amps and have looked at the schematics a lot, so I'm used to seeing large bias caps. I looked for Fender/Marshall examples and saw much smaller bias caps. Although, the 1987 link posted above shows a 220k resistor in series with the bias cap, so even with a smaller bias cap that's potentially a much larger RC constant than the HT filter.