But what action are you triggering that automatically follows invisible links? Especially those not meant to be followed with text saying not to follow them.

This is not banning you for following <h1><a>Today's Weather</a></h1>

If you are a robot that's so poorly coded that it is following links it clearly shouldn't that's are explicitly numerated as not to be followed, that's a problem. From an operator's perspective, how is this different than a case you described.

If a googler kicked off the googlebot manually from a session every morning, should they not respect robots.txt either?

I was responding to someone earlier saying a user agent should respect robots.txt. An LLM powered user-agent wouldn't follow links, invisible or not, because it's not crawling.