#1 Yes.
#2 Correct, no one can argue that $24 is less then $200
#3 To your point, I have not tried to replace receptacles to improve audio quality. However, a little background on me... I started my career as an EE design engineer for an FPGA based satellite communications modem manufacture (Comtech EF Data), which I am still employed in an executive role now. Let me assure you, transforming an analog (or digital for that matter) signal into the IF realm and modulating it at LDPC 32ARY 7/8 FEC, then up converting it to the RF realm followed by amplifying it to travel 22,000 miles through the atmosphere as a quality signal is a fairly challenging experience. I am absolutely aware of the impacts of improper ground, or spurious emissions have on the equipment being powered. Not once, in my entire 22 year career, have I ever heard of a cryo treated outlet, or power cable change actually impacting anything (save having an absolute broken one). What I know for fact helps is a proper power conditioner. All earth stations are equipped with massive UPS systems which provide power conditioning for this very purpose. On submarines, for example, they go through extreme measures on power conditioning as close to the equipment as possible as static electricity interference is a real problem.
#4 (or Lastly as you put it) the gauge of the cable is only intended to provide 2 functions. First is loss over distance as a thicker cable will have less loss over distance at 60Hz (US) or 50Hz (International). Secondly, as Amps (or Watts) is also equivalent to heat, and the more Amps (or Watts) a piece of equipment is drawing, the hotter the actual cable will become. Thus if you use too small of a gauge cable, you can actually burn through the casing and cause a short or a fire. There are no other electrical benefits to having a larger gauge cable. However, there are absolutely measurable differences in having a pure sine wave power conditioner inline to any electronics equipment as most residential power does indeed suck. You see this anywhere from computer overclockers to audio equipment where the internal AC->DC power supply just cannot handle some of the issues properly. A change of 0.02 VDC is a real problem when overclocking a processor to it's extreme for example.
Take my "perspective" for what it is worth to you. I honestly could care less what you spend your own hard earned money on. You have the right to purchase anything, and your ears will hear the changes that you are hearing (I cannot argue what your ears are hearing). What I can argue is that there is no technical reason for the change, again unless there was an actual fault in the receptacle itself (which there may have been).
Just a few perspectives for you to consider...
-Ray