On the one hand, there are drum machines/sequencers/loopers/programmers etc that combines a drum machine and a fairly static drum loop that you play or sequence yourself.
Then there are 'superset' products like https://shop.propellerheads.se/product/a-list-studio-drummer/ that does that plus some degree of dynamic variations (I didn't buy it yet, just as far as I can tell from reading about it) that plays a bit more like an accompanying band member if you're practicing alone, provided you give it some hints via MIDI keys.
What do you call the latter class of products? A drum player? How do I search for more products like it?
The end goal is to have an improvisation practice tool for other instruments so I don't have to pre-emptively program individual drum notes or drum measures or drum songs nor live hint drum measures but live hint song sections. Like play dynamic pattern 1 with frequency x of fills with intensity y. I press a button and it goes to pattern 2. I press another button and it launches into 4 bars of increased intensity followed by an automatic bridge type pattern.
