High power amp, does it matter at low volumes?

I have a Mark Levinson 326S.   Very happy with it.  There is a great review on them of the 326s and 532H in this link.

https://www.whathifi.com/mark-levinson/no326s532h/review

Stereophile also did reviews on the 2 units separately.

What really got me was another review, at a stereo show, where the reviewer was waiting for his interview at a ML booth or suite.  While he was waiting, he was listening to this combination, not in a booth, but in the waiting room.  Eventually he paid attention to combination, and was surprised to hear that the amp was home theatre rated, and the pre amp was last years model. After that, I found both units used at 2 different locations, a few months apart. I think I got lucky, as I really didn't appreciate how good they are. That reviewer commented that the combination was one of the best he heard at the show, and for the price, very hard to beat.  

Most top model home theater products (and audio products) during that time ('83 maybe) needed THX certification, which were standards developed by George Lucas and his team, which if memory serves me, included Tomlinson Holman (the APT guy). Much of it were speakers and room set up, but distortions of all sorts, from electronics, needed to be specifically lowered/eliminated/designed to meet the mark. I am not a home theater guy to the extent of my 2 channel listening but have heard/seen some excellent home theater installs. Enjoy today! MrD.

Yes, High Power,  High Amperage amplifiers give mote dynamics and headroom at any volume. 

My 4.5wpc Triode Lab PSet outperforms my 200 wpc Sunfire across the spectrum in every category until I’m over the 90db range, which is just not how I listen.

in my scenario, I’ve got 100+ db large horns so I would not expect 4 watts to power B&Ws, but my point is that all watts are not the same. 
 

within the same line, I’d expect that more watts gives you other internal improvements that may be just as significant as the increased power.

Switching companies, you really should listen or at least do lots of research before you buy and not assume that more will be better.

just my thoughts.

Well, I think we have a concensus.

1) more wattage does relate to more detail and dynamics, at all volumes

2) higher quality wattage beats low quality, every time ( I really didn't have to say this did I ! )

3) Most of the time I am listening to less than 2 watts ( being generous here -  most likely around 1 watt )

4) this discussion has had me turn up the volume a bit, and no one in the house cares, in fact, I think we are enjoying the slightly louder but better sound! Win already!

5) I am most likely going to take my sweet time about looking for an amp that does a fair bit of Class A power, maybe 10-15 wpc, with very high quality.

6) The speakers were a gift ( from my wife ) and replacing them does not seem to be an option... lol 

Frankly, I am quite happy with the sound at present, sometimes you just want to change it up a bit?  

Thank you all responders who shared your background and knowledge!