First of all, I'm not sure this question is really appropriate, but that's just my opinion. I do think there's no reason to be vehemently against such a proposal without seeing how it'll turn out.
In my opinion, 'paranormality' is actually a sort of 'parareligion'. Since we have serious sites that manage to seriously and objectively discuss Christianity, Buddhism, Islam or theological matters, I don't see what prevents serious and objective discussion of 'paranormality'.
Anyway, this site is still in the definition phase. Many sites don't even get beyond that phase. Only a minor fraction of all proposals reach the beta stage. So I wouldn't worry. Just sit and wait. You might consider mentioning in chat when (if!) it reaches public beta.
Also, I do think there is a tiny overlap between academia and 'paranormality': 'Cranks'. Questions about cranks and how to deal with them (for some academic) are very much on topic here. Paranormality appears to be a 'field' with more cranks than non-cranks, so I think 'dealing with crank questions' might appear on that site (although most likely from the cranks perspective). Still, experts from Academia.SE could share their expertise their. The serious, scientific investigation of 'paranormality' (Yes, it exists!) might overlap a bit, but I think that leans a bit too much towards 'questions inside a field' than questions about academia itself.