So my conclusion is that it Is just inherent in the lp medium to some degree
Congratulations on figuring that much out. That is more than most. So far however you have compared the same LP on different rigs. But what about different copies of the same LP?
For years until recently I always assumed that aside from the occasional bad (noisy) pressing they were all otherwise the same. Now if you do the same test only playing different copies of the same LP I can just about guarantee you will find no two copies sound the same!
Some have truly awful sibilance. Some have none at all. I'm not talking any two, I'm talking two copies of the same recording! Like you it bothers me a whole lot less now that I know its the pressing and not a dirty stylus, misalignment, mis-tracking, or any of that.
If you have any dupes in your collection I highly recommend taking the time to play and compare them side by side. The differences sometimes are huge, and involve a whole lot more than just sibilance.