If I hire a repairman, would it be rude for me to ask to see his license
and
bonding documents if I am in doubt.

This conversation has devolved into a complex thing. Lots of work can and
is done safely by people hiring unlicensed uninsured people all the time.
It's just when something goes haywire that we hear about it. It's all up to
you. You're the one at risk.

You might be scaring off good tradesmen by insisting on documentation. Yet
not asking is courting disaster. It's a Catch-22 situation.

Steve