The good news is that power transformers really don't matter…
I disagree.
Many modern equivalent / replacement PTs have a much lower HT winding resistance than the original. This results in better regulation, ie high voltage output when loaded, and less heat generated by the copper loss.
All that may seem like a good thing, and I’m sure transformer manufacturers think they’re doing their customers a favour, but really they’re not.
Fundamentally, amps are just modulated power supplies, and so the characteristics of their power supplies to varying loading conditions are key to the response perceived by the user.
Amps with saggy HT supplies respond differently to amps with stiff HT supplies - it isn’t just a valve rectifier - silicon rectifier thing, rather the sag (poor regulation) of the HT winding plays a significant part in this.
Also the HT winding resistance (and total effective supply resistance, which also includes the reflected primary resistance) plays a key role in limiting charging current in the reservoir cap. With valve rectifiers that especially significant, as that’s also the peak anode current, a limiting value that can easily be exceeded.
When the valve rectifiers fail due to insufficient series supply resistance, it’s crappy current production valves that get the blame, rather than the incorrectly specified PT.
@HotBluePlates has shown that some modern replacement PTs have a much lower HT winding resistance than the PTs in the original amps that they’re supposed to be equivalent to.