It depends. On a lot of things. Mainly tho, if both are operated within spec, level matched and you remove any kind of sound processing or dsp then yes. Everything being equal it's unlikely you'd be able to pick which was which under blind testing. Now the $4000 Rotel will likely have more power, better parts, better build quality and the ability to drive more difficult speakers with no issues.
So it's not like you're not getting a better amp. There are reasons to spend more money- to a point. I'd argue $4k is an awful lot to spend on any amp, but some folks take pride in ownership and have the money. At the core tho, most of the competent manufacturers have gotten amps literally down to a science and they all have the same goal in the end. Accurate reproduction of a recording. If you think about it, they should all sound more alike than different. If not then someone's not doing it right.