As long as they have a park reservation for Epcot on that day they will be eligible to try for a VQ at 7AM.
The part I don't know about is, do they qualify to book a park reservation with this type of ticket? (This is a new scenario that has not been reported on this thread. @Sandi, If your friends try for a VQ at 7AM, can you please report back their experience?)
BUT, If they are not successful getting a VQ at 7AM (or ticket does not require/allow them to book a park reservation), they will not be eligible to try again until they have tapped into the park at 4PM or later and quite likely by then the VQ will be full for the day.
Return times are not enforced (to date) for GotG. Once a VQ BG is called, a guest can return anytime from then until close. This is the same for ILL$. (This is not the case for normal LL return times secured via G+ for any ride other than GotG.)