Honestly, I'd probably ask for rule/case citations that suggest otherwise. If their only argument is "Well, it doesn't *seem* right..." hopefully you can emphasize that that's not how we officiate the game. (Offer not valid for Rule 10-4...)
I mean, my first post in the thread suggested the same as your colleagues (although not fully convinced), so I started digging in the rule book and realized I was mistaken. A general philosophy in the rule book is that Exceptions Are Bad (except for the exceptions), therefore you shouldn't insert any sort of informal exception when none exists.
Furthermore, "Live ball enforced as dead ball" is not a defined phrase/category of foul in the rule book. It's short hand/mnemonic for our purposes for live ball fouls that come with succeeding spot enforcement. They are not, by definition, dead ball fouls and should not be conflated.