I didn't say that I was expanding this policy to apply to all websites and large membership organizations. I believe it applies to questions about individual honor societies, including your question asking about the legitimacy of a specific honor society.
For questions of the form "Is honor society X legitimate?" "Do graduate schools care about membership in honor society X?" "How to specify membership in honor society X on my CV?" and "Does membership in honor society X carry any professional weight/recognition?" I believe the rationale here still applies and they should be asked and answered in a general way as stated in that answer.
The question Do graduate schools pay attention to joining Phi Kappa Phi or other honor societies? is a general question (see "or other societies") that happens to give a specific example in the title. The most upvoted answer on that question gives advice about honor societies in general.
Regarding other instances of questions about specific professional associations, websites, etc. I think it's worth evaluating them on a case-by-case basis. Services like Google Scholar, ResearchGate, and Academia.edu and associations like ACM, IEEE, AMS, etc. are very different from any individual honor society with respect to the magnitude and reach of their impact on the academic community.
As a rule of thumb, I think if you can rephrase the question to ask "about X and other things like X" without it being ridiculous, then you should. Asking a question about "ACM or other huge academic society and publisher for computer science" on the other hand sounds like asking about "Holy Grail or some other famous cup" (to borrow a great phrase from Pete L. Clark). I don't think we need to generalize to the point of ridiculousness.
I'll also address
If we're limited to one general question, why even have a tag for honor-societies or online-resource etc.?
Because people may ask different generalizable questions about these topics. If you look at the four existing (open) questions in honor-societies, you will see that there are multiple general questions asking different things.