Grit is not synonymous with overwork. Grit is more about, when something is hard, not just looking for an easier task, but continuing to focus on the problem at hand. It doesn’t mean being a hero and figuring things out on nights and weekends. It might mean patiently reaching out to the people who can help you, following up when others drop the communication, taking responsibility for chasing requirements, etc.
Grit can also meaning sticking to your guns when it comes to boundaries and thus preventing burnout.
I guess I just would caution folks to not read too much into this word. It’s not a strong signal of anything, put it together with everything else that you see from the company. Some people just read the book Grit and want to use the term