Refinishing a 1960's ceiling

[clockworks]

I live in a bungalow built in the mid 1960s. The ceilings are made from some kind of compressed fibre board, nailed to the joists. The joints between the boards are covered with half-round wood mouldings.
This looks very dated, so I want to redo the ceilings with a smooth plaster finish.

Can I just remove the wood strips, fill and tape the joints, then get a plasterer to skim? Or do I need to remove the boards and replace with plasterboard?

[clockworks]

I can see the edges of a couple of the boards where the wood strip has been cut back for a light fitting. It is similar to old fashioned hardboard, but about 9mm thick, and a bit less dense.

[clockworks]

OK, overboarding sounds like the easiest option. Thanks