did you figure this out? having a similar issue. can send invite from me.com but cannot receive an invite from me.com. the apple ID has always been the same me.com address
I was having a big problem with the email notifications going out... Apple support told me that the feature was being phased out initially, but I am pretty sure that the tech had invalid information.
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(sorry, hit post too soon!)
Ultimately what helped in my situation was removing my gmail address as a secondary email on my AppleID. Works perfectly since I did that.