High power amp, does it matter at low volumes?

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!  

I have not heard any high powered solid state or tube amp that I liked as much as low-powered tube amps playing at modest levels.  Most solid state amps sound a bit lifeless and unengaging at lower volume levels and high powered tube amps sound a bit brittle and harsh to me.  It might well be the case that more power might help at very high listening levels, but I don’t listen at high levels do that is not s priority.