answers:
1) Currently, when a mail is sent to on-premise distribution groups, is it being delivered to mail Public Folders (which is part of the distribution group)?
- if you as sender located onpremise - yes. if mail send from o365 - No, because on o365 side DG does not contain PF as member (membership is not completely synconized).
2) You are getting “completed-warnings – exported-change-not-reimported” only for mail Public Folders which are part of distribution groups & not for other mail Public Folders. Am I right?
Not sure, for we remove this feature from production, but it possibly yes.
To sync mailPF to o365 we use now Sync-MailPublicFolders.ps1 as partial solution (sync mail addresses, not membership).