Of course you can put the CBN on a stone
And if you so desire, you can use an edge trailing stroke if this is what you define as a stropping motion.
So in this case a 1.5 micron CBN spray on a 12k ish stone gives you a substrate that actually becomes part of the slurry. So plus or minus a little bit, loading a 10k Naniwa would give you a soft 'strop' that you should do edge trailing strokes BECAUSE of the stone, whereas a 15k Shapton pro would give you the ability to do edge trailing and leading strokes, gaining the benefits of CBN over a stone in that it handles very abrasion resistant steels better than the stone alone. Of course this gets quite interesting with natural stones....
Now if the CBN is loaded on say Kangaroo or nanocloth, now you do have the advantage in some circumstances of using a DRY technique. Even more convenient than splash and go. Just go and go
Now if we start seeing more k390 knives, well the advantages of CBN becomes even more apparent whether or not we are using a stone or more traditional strop as the base.
I think I'll stop for now as hybrid stone slurries on strops could get pretty confusing.
Overall, your choice would be determined by exactly the effect(s) you wish to achieve and what you have available.