AGDAD19,
I didn’t understand what the base number came from. Now I’m “assuming” that number is the total pitches the pitcher has thrown, then there are additions and subtractions to that number based on the given criteria.
What “prescribed” pitch count are you talking about?
Personally, I don’t care how complicated the algorithm is because the computer doesn’t care. 
Unfortunately, since I’m the only person in the world using the program that has all the information already available, I’m afraid that means someone’s gonna be doing some work to get an answer.
I agree that the pitching “loads” on the body are much different than the hitting or running loads. But what I was thinking about wasn’t the load on the arm, but rather the load on the legs. Tired legs are a roadmap to pitching problems, and running can tax the legs, plus when a player’s running the bases or batting, he’s not RESTING which is a huge part of you calculation. I’m not saying it’s a game stopper, but I am saying it should definitely be considered.
Like you I’m always up for a discussion about pitcher safety. That’s what led me into PAP, PAP^3, and PAP with stress. When I got into PAP with stress I wanted to also factor in pitches in an inning and rest, but to be honest I never found the time. Now that I have the time I’ve been thinking about it a lot. I’m in the process of putting my thoughts together now. If and when I get that done I’ll PM you a copy and we can talk about it some more.
Stats,
The prescribed pitch count is the total pitch count for the game for that pitcher that has been established based on age(ASMI guidelines), time of year, arm preparedness or where that particular pitcher is in his throwing program or what he has built up to. It's the maximum number that all think he should throw, assuming he's healthy, based on those variables. Let's say a healthy 18 yr old pitcher's pitch count is 95 for the game. That's the maximum he will throw for that game. You never exceed that number except to finish a batter as I described in my original post proposing the variables. Even if, in the first inning, he only throws 8 pitches, he doesn't get an add. He's still working off the 95 max.