If control of the SFA membership currently held by Hearts was lost, aye. That's the main basis for Rangers claiming a continuity of history. For example Airdrie United has a different SFA membership from that previously held by Airdrieonians. Even though Airdrie United has now renamed itself Airdrieonians, they can't (and don't) claim old Airdrieonians honours as their own. All they do on their own website is recount a general history of football in Airdrie.
http://airdriefc.com/history.html
If a newco secured the SFA membership then the MSM would recognise them as the same club, using the Rangers / Sevco precedent. Obviously you would get folk arguing against that, but it wouldn't gain any traction officially. I have to say at this point I would be very surprised if the SFA membership was lost, even if their company was liquidated and Tynecastle lost. The SFA membership would be one of the few other valuable assets held by the company and would be worthwhile for FOH (or whoever) to secure.