IMO skirting is all you need.
A good trick is to run two battens, one about 18mm above the floor, one to meet the bottom of the plaster(board) in such a way that they will be flush with the plaster(board).
Then you can lightly fix the skirting to the battens with csk screws, or glue, it will not matter if it is a bit higher than your pb. There will probably be a tiny crack or irregularity at the top, which you can fill with caulk.
To protect against draughts under the skirting, you can pack the space under the lower batten.