Terry....that's a good one! Never heard it put that way!
For poser BJK.....plumbing, possible more than any other trade, is about as non-standardized as you can get. It really started over 100 years ago, and in the beginning, there were no codes, then there were a LOT of different codes, and especially we did not have telephones, much less the internet! The FAX was actually invented in the 20's. One page took several minutes, and the cost for one page from New York to Chicago was I believe $25.00 a lot of money in those days! So small manufacturing companies in each city sprung up to make stuff for the plumbers in that area. It was all different. And it has pretty much continued to evolve like that. There has been some standardization of things like pipe sizes, but you still have choices of ABS,PVC, cast iron, steel, copper, PEX, PE, CPVC....etc. etc.
One critique I have always had of store displays, showrooms, and the people who work in those places.......is that they do NOT make it abundantly clear that what you see must be brand for brand, model for model. You wouldn't believe how many people have purchased a rough valve, installed it, then purchased an expensive trim kit....only to find it doesn't go. I do blame the stores and salepeople for some of this.
SO, after my long tirade here....the bottom line answer to your question is an unequivocable NO. Sorry!