Traditions provide community cohesion. They're an expression of shared values that create emotional bonds so your neighbours don't cheat you and vice versa. They are highly adaptive, because if they weren't, they wouldn't appear in literally every human civilisation, ever.
So yes, traditions are typically worthwhile, just not necessarily for their apparent or stated purposes.
The community cohesion aspect is very well described in this article of Nicholas Taleb "How to be Rational about Rationality", especially with regards to the Jewish communities:
... Jews have close to five hundred different dietary interdicts. They may seem irrational
to an observer who sees purpose in things and defines rationality in terms of what he can
explain. ...
But it remains that whatever the purpose, the Kashrut survived approximately three millennia not
because of its “rationality” but because the populations that followed it survived. It
most certainly brought cohesion: people who eat together hang together. Simply it aided
those that survived because it is a convex heuristic. Such group cohesion might be also
responsible for trust in commercial transactions with remote members of the community.
So yes, traditions are typically worthwhile, just not necessarily for their apparent or stated purposes.