Supposingly , stropping should give you the ultimate finish and clean out all the blurs ,
Add some stropping pastes and you'll have yourself a blade that blinds people with its holy aura.
Now the question is... how fine should you go before you start stropping with leather?
1000 ?
2000?
3000?
8000?
Should you clean your blade of all the waterstone lotion before you start stropping?
Or should you keep the lotion ?
Once you start thinking about how to do something.. the questions just keeps coming
Not sure what waterstone lotion is, but I'd wipe it off before stropping unless you're stropping on the mud from the same stone.
You're going to get a lot of different answers, but much comes down to what your goal is.
Stropping is really the act of using a loose or semi-loose abrasive on a slightly conformable surface, or at least a surface that can allow partial attachment/infiltration of an abrasive. There is no hard and fast answer.
You could strop at any one of the finish levels you mention, but will depend on a number of factors. Generally when stropping from a largish finish (1000) your stropping abrasive particle should be fairly large. When using waterstones you can claim some of the mud on a sheet of paper, let it dry, and wrap it around another stone for a pretty good match of grinding stone to stropping abrasive. This works at any grit level as a follow up to the stone use. As you go up in finish, the abrasive can be correspondingly smaller.
Other factors - the steel you're working on, what sort of abrasive you're stropping with, how firm is the substrate, is it a finish step, or intended to repair slight damage and wear? Standard stropping compounds range from approx 30u down to sub-micron.
On most steels I stop at 600-800 grit ANSI and strop, but the compound I'm using is a very aggressive blend of larger and smaller particles, and the strop is extremely unyielding - just short of using a bare oak board.
I recommend you get good and consistent with the stones, and then start experimenting. There are a lot of variables that can be tweeked, more to stropping than working with all other fixed abrasives combined (stones, diamond plates, waterstones, etc).
Martin