I don't see why it wouldn't work. ... Of course, not having seen it, I can't attest to the quality of the kit. But -- theoretically -- having the vac separated from the unit shouldn't be a problem.
If you did go that route, I think I'd also invest in a junked turntable -- so you could spin clean LPs on a 'table other than your "real" rig. I know that a bunch of dust & crud quickly accumulates on my vac unit. Wouldn't want all that gunk on my working turntable.