NH and MA have a similar dichotomy. NH residents commute into MA for work, where they pay MA income tax, and so the NH property taxes are usually higher than a comparable home in MA.

However, and no offense to NJ, I think living in NH has a ton of appeal. You're so close to amazing backpacking, skiing, lakes, etc. It's a really beautiful state. People staying in full time WFH are going to have an amazing balance of occasional office trips in MA and access to adventure.