Lots of overthinking on this subject but usually, common sense goes a long way. When I purchased my KEF R3 speakers, I had a conversation with a KEF engineer about suitable amps and he pointed me to a blog on their website about power requirements. At its most basic level, choose an amp that is 60 to 110% of the recommended power requirements if published by the speaker manufacturer. Ignore the minimum number because it is usually just enough to get the cones moving.
Narrowed down to those parameters, you can start looking at things like current delivery and such. In a perfect world, and amp just makes a tiny signal louder. What's left is what leads to all the arguments and discussions on forums. We all have to choose our own distortion preference and altered reality.
Having said all that, You can, and many people have filled books with what I don't know or understand about these subjects.