It has more to do with the transients in digital recordings compared to most vinyl. PLaying a record is a physical process involving mass and inertia that inhibits the ability to deliver transients. The fact is historically most vinyl rigs/record players do not handle this very well, although many more modern, high tech and expensive rigs probably do better.
Often or typically the result is a natural and perhaps even pleasant filtering of transients that makes the signal easier for an amp to deliver. The more this occurs, the easier for the amp, often with pleasant sounding results nonetheless.
DIgital involves no physics of mass and inertia.
Another way to describe what you are talking about is raw bandwidth. If you have bandwidth, you also have risetime- the two are related. Most analog has more bandwidth (remember CD4 from the 1970s?) than most digital, in addition most amps have more bandwidth than either analog or digital.
So the transient theory can't explain your observations.