A lot depends on what finish you're trying to maintain or restore. That, and the steel you're using. If finishing a 'softish' steel like 420HC to a 600+ grit level, a strop used with a steady hand can maintain that almost indefinitely. If you like a coarser finish on your edges, like ~320 or a little lower on the same types of steel, I've found a stone does that better. Too much stropping on such an edge, with such a steel, tends to quickly polish it beyond that favored coarser finish.
I say the above, because for a long while, I was maintaining a lot of my Case/Buck blades (420HC) at a closer-to-polished finish of 600-grit or more. I used a strop with green compound (usually, but sometimes a white rouge on denim) to do that, and used it essentially without exception. At some later point, I started using those edges finished to around ~320, as per the finish coming off the 'Fine' side of a SiC or AlOx stone. That finish works very well with 420HC. But I noticed, in order to keep it as such, I had to dial back the stropping to a minimum, else a green-compounded strop would tend to overpolish it pretty fast (and with white rouge, even faster), so I'd have to go back to the stone to fully restore it.
David