I've lived through many new equipment break-in events over the years. As my experience level increases and the resolving capabilities of my system increases, it has been easier to track changes through the duration of the event. In a moment of judgement, it can be difficult to make statements of progress or regression as we aren't very good at making absolute comparisons, unlike numerical measurements. It's always relative and our powers of perception are better at establishing trends over time than snap judgements. It is possible to fool yourself in a single session. More valid impressions form through multiple sessions.
Here are several notable examples where break-in from new was significant and long in duration.
Antipodes K50 Server. From new, un-listenable for 9.5 days of continuous power up. Utter dreck. By two weeks of on time the performance was quite good. After 1 month, exceptional. After 6 months, fully plateaued. My experience, corroborated by others, and the manufacturer. The reason - power supply capacitor break in.
Daedalus Apollo 11 speakers. Pretty rough on arrival. Grainy HF. Over days the bass would come and go. By 110 hours the sea began to part. The grain and hearing fatigue began to lift. Bass came in. By 150 hours they were quite good. The manufacturer claims 400 hours for full break in. Guess my hearing isn't that good. Mundorf capacitors are the main culprit here.
Taiko Extreme music server. Sounded OK on arrival. After a couple weeks, quite good. After 1 month exceptional. Here's the rub on this one, even after fully broken in. If you shut it down for 15 minutes, unpowered, it takes 4 hours to recover. If you unpower for over 1 day, it takes 4 days to recover. All of a sudden the drapes open and it's a nice sunny day. These experiences are corroborated by the manufacturer too. Cause - power supply capacitors.
The common ingredients in these events are the capacitors. I suspect that these parts are the special sauce that makes this level of performance possible.
I have not heard a power amplifier exhibit this extreme of behavior from new, but that does not mean these parts don't require break in and overall performance will benefit from more run time.
If you are throwing parts in the bin after 30 minutes, I think you are missing out on some opportunities.
I've read plenty of attempts at explaining why parts, particularly capacitors change during break-in (they do plateau, they don't keep changing) but it doesn't matter unless you are a capacitor designer/manufacturer. Results are results. The reasons why don't matter for users.
Engineering is the prostitution of science. Even scientists don't have all the science worked out yet. Not even close.