This makes sense if you want to reject the modern web, but using lynx or w3m would work as well. But if you generally want to champion free software and put the "personal" in PC, then I think you necessarily need to familiarize yourself with modern computing or else you can't really have a good opinion on it.

For instance, if you refuse to play around with LLMs out of some dogmatic reason that they're not "truly" open (note: I don't know what his true opinions are), then you risk completely missing the boat and can't meaningfully shape the space of modern discourse.

No, you don't know what the reasons are. You're assuming he just wants to avoid graphical interfaces. That might not be the reason. In fact, I suspect that it has to do privacy, where lynx won't help you.