At our last house we removed some anaglypta from a wall to find the wall had been gloss painted and quite a bit of the paint came off with the paper. Rather than a complete plaster skim I opted for an application of dry wall filler applied with a float. I managed to get a reasonably smooth finish that required some sanding. You do need to apply a sealant which can be pricey and comes in 10 L drums but coving sealant is the same stuff and can be bought in smaller quantities. Afterwards paint as normal. Admittedly, it was only an 8 x 4 section but at the time if I had to do a full room I would have done it.

Richard