After excellent feedback (thanks!) and some testing, I decided to add more detail and remove any recollections or suppositions that were not repeatable, to try and give a better picture to work with. I apologize for those who have answered given insufficient or inaccurate information!
I have a chest freezer and a penguin glycol chiller on one outlet, with several Inkbird temperature controllers. One keeps the chest freezer at beer temps (~40F, set to 39F with +/-1 OD/HD), the other two control pumps for the chiller, and heat pads to keep fermenters at a given temp, which ranges depending on style and recipe. These all are connected to a fairly inexpensive Triplite power strip and surge protector.
On the other plug of the same outlet, I have an APC power saving surge protector. This has a "master" which is split between a TV and PC, so when either power on, the sound system plugged into the "Controlled by master" powers on, and vice versa. The sound system consists of a Sony STR-DH550 with two input connections (coaxial digital from the PC and optical digital from the TV). The receiver's connected to a stereo sound bar, a center speaker, two surround speakers and a powered subwoofer (a Mackie Thump 15).
Momentary Sound Pause
The issue occurs when I'm listening to music from the PC (coaxial s/pdif) and the chest freezer powers off, there is a momentary pause in the sound, every time. Per comments, I tried listening to audio from the TV (toslink optical s/pdif) and could not repeat the outage. I will leave this up today to monitor it further.
In testing, the chiller has not impacted the audio, manually switching on or off or when it automatically switches on (high temp) or off (reaches low temp) and the chest freezer did not impact audio powering on.
Plugging the cooler side into a different circuit
I ran a long extension cable to the other side of the basement and plugged the cooler side into it. There is no pause in audio when connected there.
I have two toslink connectors on the receiver and both toslink and coaxial s/pdif on the PC. I switched this over and have not seen a glitch all day! Thanks @Jasen