> But almost undoubtedly you'll be a better programmer if you do know CS (I'm using binary here as a proxy for CS since I can't imagine having a deep knowledge of CS without knowing something fundamental like binary). How many times over those 25 years could a problem have been more efficiently solved (in programmer time or CPU time) if you had known about problem solving techniques (perhaps those related to binary knowledge for example) that you don't know from the world of CS? You'll never know...
You're both right and wrong.
Principles are a lot of cognitive debt to take on, and not strictly necessary to be functional. Literally anybody can sit down with an IDE and write code to merge spreadsheets or whatever the actual business need is. We teach this stuff to anybody with any interest. Kids, even!
If someone thinks they want to be a plumber, they shouldn't start with a 4-year commitment to learning principles of hydraulics and mechanical engineering-- makes much more sense to apprentice, lay some pipe, and if it's the job for you, then go back and learn it at a deeper level. Doing it the other way is why college is so ridiculously expensive and most spend 5 to 6 figures on a major and then go manage at Target.
After failing discrete math three times and giving up, I managed to make it almost 20 years in this industry before needing to learn anything about binary math-- and even then, it was only so I could understand how flags in old MUD code worked, for fun. Truth tables are important, but there has never come a logic problem I couldn't solve by taking a few extra steps to be explicit where you might reduce the logic to a compact blob of symbols. I'll never optimize code as well as someone classically-taught. I don't know what Big-O is-- and outside of a botched Google interview absolutely not a single employer or client has ever given a shit. Nobody has ever been victimized by my code. The "CS" way implies the academic approach is the only way to do things. It's the textbook definition of gatekeeping. All academia did was appropriate and institutionalize experiences yahoos like myself have always learned through ingenuity and trial-and-error.
You've learned more than I do, so you have more tools in your bag. The only thing that sets us apart is that I won't be advancing the industry or publishing anything on arxiv anytime soon. Outside of that, you're going to struggle with quantifying how you're better than the self-taught without resorting to speculation or guild/union mentality (gatekeeping).