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You should certainly post good questions. I don't see what the point of posting bad questions is, though.
I agree with Will Jagy, that the culture around MO is different from the one around NMBRTHRY. Some people regularly use the latter to popularise their conjectures, which they computer-generate at an incredible rate. MO rightly discourages this sort of usage. So for some people, MO will just not be the right kind of replacement. I do think that the better questions from NMBRTHRY will find an excellent home on MO, but if people from the mailing list are to be encouraged to use MO, they should be made doubly and triply aware of the differences between intended usage.
By the way, there is also the group theory mailing list group-pub-forum, maintained by the mathematics department of Bath University, which usually attracts a high quality of questions and answers, and many of those would really be a welcome addition to MO. It might make sense to point out the existence of MO to the users of that mailing list.
By the way, Victor, many thanks for maintaining that list!
On the subject of mailing lists that currently deal with crackpots... It seems that here at MathOverflow we have a pretty robust and low effort response to crackpots. Maybe we shouldn't be worrying too much about mailing list managers fobbing them off on us?
I agree with Noah Snyder.
MO works much better when questions are posted by people who are personally invested in them and are willing to watch and vote on the answers, respond to comments, make clarifications, etc. Also, the reputation system tracks who asks good questions and who does not, which breaks down if one person is posting on behalf of many others.
So I would suggest that you not post other people's questions wholesale. Instead, you could tell them about the site and encourage them to come and post for themselves.
If there are questions, originated by others, that you are personally interested in, and they don't care to post them for themselves, then by all means you should post them yourself. But in this case you should follow the question as if it is your own.
That's my ε dollars.
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