I truly appreciate all the information and comments.
I guess what sort of bugged me the most was that I was pretty sure that a 51R size battery was the same as a 51 size battery but the poles were reversed.
However, almost every website I visited only sold the 51R. None showed the size 51 alone. Now I will admit that I did not visit a store to actually see the batteries and probably should have done that.
I went back to my files for the generator and found a picture of the installed battery (below).

It would seem that since a 51R just has the positive and negative terminals reversed, and given the way the cables are installed and connected, I should not have an issue using a 51R battery. However, if the cable length is an issue due to positive and negative terminal locations, I will simply rotate the battery.
Also I am a firm believer in making sure that the battery I will install in my Emergency Whole House Generator is top of the line. Last thing I need is to have the battery fail early and need the generator.
Just a short story, the wife and I were on a bike ride up to VA and back, late September last year.
However, we did not count on Hurricane Helene being an issue on our return home. When we checked into the hotel in Dobson, NC on September 25, 2024, as we were unpacking I got the notice on my phone that our home was under Generator Power.
It happening while we were away and working as expected saved everything in the refrigerator and freezer. And the generator (because of issues in my home town) ran for about five days.
So, I try to make sure it is well maintained and serviced.
So, this coming week I will head out to the NAPA store and then the Autozone Store and pickup a new battery, size 51 or 51R, knowing that it will work.