I have a Puzzi 100, it's good with the hand tool. Decent vac etc. You can work with easy rinse chems like Mpower.
As for being faster, no way. Easy to carry yes but the increase in prep work would negate that time saving.
Sometimes I dread going up to the 3rd floor for one little room, but thats why I have minimum price that would make it worth while, and seldom do we do only one tiny room.
Anything bigger than one room and I bet I'll be in, brush and TM while you are still pre vaccing