I'm exactly like you. Home is strictly for non-work stuff: no work, no reading emails (not that I carry my work phone anyway), no nothing and I despise working from home.

Yet I work remotely. I work remotely because I felt like moving to a sunny, cheap place where I get to live like a king and I just rent a desk at a co-working office where a couple of my friends work too. It's lovely, all the nice things about being in an office and all the nice things about working remotely.