As the existing answers assume you
a) know what wire nuts are* &
b) have a back box to the light fittings
let me give you a UK perspective…
He wants the light fittings out of his way because he needs to be able to work under where they usually sit. The cables will have to stay in situ & he'll have to work round them.
I don't imagine these light fittings have back boxes, they just fasten to the wall, where there are cables coming out from behind the existing plasterwork, buried in the walls. [Photos could help decide this as an absolute.] If you do have back boxes, tape up the cables & stuff a carrier bag in the box with some extra tape, so the boxes don't get filled with plaster. He'll let you know if he's not happy with that ;)
All he needs is for you to switch off the power at the fuse box/RCD so there is no live mains where he needs to work.
The tape around the wires is for your convenience not his - when he's finished you can take the tape off again & still have clean cables, for when you re-fix the light fittings.
As to whether you tape each individual wire in each cable - that's really a matter of where you put the removed fuse/RCD once the fixtures are out [your pocket is a good place, so there's only you in charge of it for the duration]. If there's any chance, no matter how remote, that someone would possibly think it a good idea to switch the power back on… then tape them individually, then all together. Otherwise just wrap the bundle in tape.
As the OP has mentioned in comments that they want the power back on for a week before the plasterer arrives, then… you're asking for trouble with them just taped. There's a difference between 'technically safe' & 'murphy's law safe' ;) I'd put them in a piece of terminal block & tape that up, just so it can't get knocked.
*You're not expected to have ever seen a wire nut in the UK. We just don't use them.