I think as the administrator has now sold the company to Otium they're the new owners and it will be their decision to liquidate or not.
Looking at the statement on ccfc.co.uk it seems Otium HAVE NOT purchased Ltd but have instead cherrypicked the assets the want out of Ltd.
Les Reid has indicated it's the administrators report that has said if the CVA is not approved he will liquidate, I can see how that ties with an aim of administration being to have an ongoing business when it is known there are other interested buyers. To me it comes across as SISU and PA saying do it our way or we'll liquidate.
I'm not sure if SISU and PA are being very clever here or doing something very dodgy that they might get caught out with, would need someone who's an expert in both the legality of this and the FL insolvency process to be able to tell us that I think.
These are the tweets I'm basing that on: "Administrator's report proposes liquidation if CVA can't be agreed for #CCFC Ltd"
"Appleton's statement says, he's only been able to sell the "rights & title" to #CCFC Ltd "assets", including share, to Otium"
"Asset sales process from #CCFC Ltd to Otium completed. Licence to play at Ricoh still remains in Ltd. Could be scrapped"
"If no CVA agreed, #CCFC Ltd liquidated & share would go to any interested entity League wishes to transfer it to. 15pt deduction"
the last one is interesting as it indicates that, as you say, if Ltd is liquidate it the FL would not view it as the end of CCFC so we wouldn't be in a Rangers type situation. I'm not sure how that can be the case if Ltd had the share and the sale of the share is not allowed unless the FL is saying we can issue it to anyone but how do they then prevent another club rolling their debt into one company, putting that into admin and just buying the share out of it?