It's impossible to say. I've never known Liberty to be reduced. I think that there was some reduction on Cult Beauty last year, although it was possibly via a code.
That said, it looks as though that CB scent with love version has already sold out (although they may restock). Now that Space NK has gone, it's possible that CB will sell quicker as disappointed customers look for an alternative.
I'm intrigued to see what sells out next. I think that John Lewis may do well.