I try to clarify the problem I see. If we say there's a common perception it means that two people share the same thought (vijnapti), or that their thoughts are similar. It could be that that thought was given from one person to the other or it came from a third mind. Both for sharing and causing-receiving there's a need for some sort of connection between minds. That connection, however, is problematical because the identity of the mind-stream has to be maintained. If it is possible to directly influence another's mind there's a chance of mixing karma for instance, so it'd become possible for buddhas to liberate beings instantly.
"There is no such thing as the real mind. Ridding yourself of delusion: that's the real mind."
(Sheng-yen: Getting the Buddha Mind, p 73)
“Don’t rashly seek the true Buddha;
True Buddha can’t be found.
Does marvelous nature and spirit
Need tempering or refinement?
Mind is this mind carefree;
This face, the face at birth."
(Nanyue Mingzan: Enjoying the Way, tr. Jeff Shore; T51n2076, p461b24-26)