AD B gives definitions of 'cavity barrier' and 'fire stopping' but not 'cavity closer'!
Diag 5.3, Note 1, in the current AD B is quite specific about there being no particular fire performance requirement for the materials used to close the cavity. This note was included only in recent versions of AD B (post 2019?) and is not in the technical guidance for Wales, Scotland & Ireland. I have own my thoughts on why this was changed!!
There is also no restriction on the fire performance of materials used in the cavity - mineral wool will be non-combustible, polystyrene and PUR/PIR will be classed as combustible.