I think it's a consensus view here among a lot of experienced sharpeners that stropping adds value, but I agree with part of
Wowbagger
's concern, it is possible to overthink it, make your sharpening process way too complicated, and spend too much $$ on a bunch of stuff that may only have a marginal impact on your results.
Here's a summary of my thoughts, which has some bearing on your OP question:
* I see stropping as a refining/finishing step in your sharpening process where the goal is to make your edge perform better by doing 3 things: (1) aligning it, (2) polishing it
slightly, and (3) abrading it
slightly to reduce edge width right at the apex. (Note: these 3 purposes of stropping are described, and documented with scanning electron microscopy images, at
https://scienceofsharp.wordpress.com/).
* You could accomplish the same goals of stropping in other ways. For example, Wowbagger does it on his stones.

But the prevailing practice amongst almost all sharpening pros I'm aware of here at BF is that it's easier, less prone to user error, and faster to accomplish the same results, by doing it on a strop. And the science of sharp site clearly documents with detailed photos that there is benefit from stropping, and that it's less prone to problems than the approach of, say, trying to do edge-trailing strokes on a stone.
* It's not necessary to go to great extremes in stropping (for example, like some of the Michael Christy videos) where you go through progressions of 3, 4, 5, 6, or even 7 strops, trying to polish your edge, using ever finer diamond emulsions, and get it insanely sharp. You CAN do that if you need a super high performing blade, but in no way is that necessary to get really excellent hair shaving sharpness from your EDU knives.
* I think for most EDU folders, kitchen, and fixed blade field/utility type knives, you can get away with 1 stropping stop, or at most, two. I've been doing two lately--adding clean leather after stropping on compound--but that's an experiment and I see it adding only marginal value that's not necessary for EDU knife tasks.
* To accomplish the goal (3) that I listed above--a small amount of abrasion to improve the keenness of your edge right at the apex--it's just going to go faster if you use some compound.
* If you want to use a single compound on a single strop that can sharpen all types of knife steels, and you have super steel knives, obviously you should use a diamond or cbn compound for best results. Other compounds probably work at some level too, but you can't escape physics and ultimately, to abrade the material in your blade efficiently you need something harder than that material. However, you gave the example of VG10, and if that is all you are sharpening, your AloX compound should be fine for that and other steels that don't have high vanadium carbide content.
* So bottom line from all this: yes you should strop, you can get by with a single stropping step for ordinary knives, and you'll often get faster results if you use some compound. I would not bother with getting a bunch of different compounds and worrying about a progression of strops, or putting a ton of thought into which compound. I would keep it simple and just use some kind of hard-backed strop (like a plain hardwood block, or perhaps a wood block with some denim or linen glued onto it), add a compound to it that will not be super coarse and aggressive (remember 2 of the goals from above are only to LIGHTLY polish the edge, and LIGHTLY abrade to remove a little metal right at the apex). So for example: a wood block, with linen glued to it, and maybe a 1 micron compound of diamonds or cbn. I think that's all you need for the vast majority of your sharpening.