If you have to ask then no.

I’m running developer beta on iPhone and Apple Watch. Not facing any issues.

In fact my experience has been that issues are pretty quickly fixed on developer beta versions and those versions are quite well tested and not that unstable (in fact I don’t recall last time I had any issue because of beta version).

One thing you lose (that I’m aware of) is capacity to write reviews on app store. It is allowed only if you are running stable ios version.

If its your main phone then no.

Probably it is not a very good idea to install a beta OS on your devices