Yes IMO there is a need to supply and fit of air tightness membrane wrap to hollowcore slab.
Otherwise the air from the cavity can enter the voids in the hollowcore slab & vice versa.
Heat loss at the wall & 1st floor junction can be significant.
Have a look at air tightness manufacturers details, Dept of Envirnoment details & Homebond manual / recommendations.
Steer clear of any Company that says you don't need it. Consult the Technical Dept of either of the 3 Suppliers, Siga, Moy or ProClima. Check their web sites for construction details.