The person you're responding to is almost certainly exaggerating, and moreover probably has a better handle on the vibe of their relationship than you can get from a one sentence joke.

Of course.

It's nonetheless a shitty thing to do, independent of whether this person actually does it. People absolutely do the thing they may have been joking about.

I stand by the opinion that the behavior you endorse is the behavior you walk by. So, I believe it's important to call out casual "jokes" at other's expense like this. Just like if someone was like, "women, and I right?"

Ribbing your significant other over minor things is part of the dynamic of many intimate relationships. Usually both parties know nothing is meant. You don't like it and that's fine, but it's not generically shitty.