I grind, but I don't expect others to, or penalize them if they don't.
My grandfather and a couple of other people I look up to always said that making myself available is the easiest way to get a leg up on people. Don't spread yourself thin, but if you need something from someone in Japan, end your day early and then sign back on at 11pm to get what you need. Do the crap nobody wants to do, and let them know you did it. At my job, we literally stopped outsourcing things because I said, "crap, I can do that"...and it turns into more money for me, and I'm less dispensable. I'm winning both ways.
It's worked for me for quite some time, especially working as a Black man in a Big Corporation. Gotta set yourself apart somehow, and you want to set yourself apart from the "minority hire" stigma that so many people have.
My grandfather was the first black foreman at Bethlehem Steel (I think I may have told this story) and worked insane hours for decades for a pension that...unfortunately never came. But the goal was there, and that work ethic is contagious.