Plate voltage, amp design, valve choice, wattage, filtering, rectification - probably more!
Lots of factors come into play, no one factor determines response. That's why you have experienced different responses with the amps you mentioned. A JCM800 has a fair amount of filtering and solid state rectifier. The reissue Bluesbreaker has a good amount of filtering but valve rectification - the filters store charge so resisting the rectifier sag. And the WEM probably had a valve rectifier with poor filtering as many cheaper amps do, so the sag was more evident.
We messed around with this at Matamp a bit a few years ago, most Matamps have a lot of filtering, helps keep the mains noise down among other things. We found that a simple swap to a valve rectifier made hardly any, if any difference at all unless the filtering was also reduced!
Cathode biasing lends to a softer compressed tone (AC30), as do lower wattage valves.
Hope that helps a bit!