Speaking in terms of higher level of usage of language, meeting invites are only one kind of coordination in language. You make a request for a meeting, the other has a chance to Accept, Decline or Counter Offer the meeting.

Coordination is a major use case of email. Whenever you ask someone to do something, or in another words say send you something - language wise you are making a request - its the same construct as that of a meeting - the action is different.