Does membership of academic honour societies carry any professional weight / recognition?
Does membership of honour society carry any professional weight?


No, not in general.  At a very early stage in your career, for example when applying to graduate school, it may be useful as a quick indication that you have received high grades.  However, the grades themselves are more meaningful than the honor society membership, and in any case grades only matter so much.  It's worth mentioning the honor society on your CV, but it won't make a big difference.

Once you are more than a few years past undergraduate studies, neither grades nor honor societies matter.