Ah, now it's all coming together...
In that case spraying a bit of paint will help stick the fibres down in those spots, but if the chance of shedding there is a concern then you're probably better off covering the whole area to avoid anything working through the joints/cracks in the boards. I'd consider it a low risk even uncovered but I can understand wanting a bit more peace of mind for this.
Something I'm now thinking could be an option for you would be to cover the ceiling with those foam/foil insulating panels (like this). They're light enough to stick to the ceiling with minimal fixings, would act as a decent barrier (particularly with the joints sealed with tape) and you get a bit of extra insulation as a side benefit.