OK... here is the definitive answer to your question...
If you are using any kind of compound, the 'kind' of leather you use makes no difference what so ever. With compound, you need a firm substrate. That's all. Leather, wood, MDF. Some work better for some folks, and for some styles of stropping.
But... if you are using the leather
bare.... you want high concentrations of naturally abrasive silicates, found in ALL leather, even human skin.
Here are the differences;
Kangaroo hide has the highest concentration of natural silicates
Horsehide is just behind Kangaroo in high concentration of natural silicates
Cowhide is just below Horsehide.
Vegan virgin thigh... not as good as Horsehide but more fun.
That's it. Now it's up to you to decide which to use.
Kangaroo is outrageously expensive.
Horsehide, if good quality shell Cordavan is pretty expensive too, but horsehide 'butts' are pretty cheap on the internet and have the same amount of natural silicates. The 'Butt' is just a bit thinner than the 'shell' section
Cow hide is a perfectly viable stropping material and the cheapest of all.
Now... the reality. The actual difference when stropping on these leathers...
(... and these are just approximations, so don't quote me...)
For the same end results on a blade, you will strop;
15 strokes on Kangaroo
20 strokes on Horsehide
25 strokes on Cowhide Is it really worth the big bucks for Kangaroo?
3000 strokes on the Vegan Virgin's thigh, because, why not?
Kangaroo gives you 'bragging rights.' Kangaroo doesn't produce a 'better' edge. That part is up to you.
All of them give you the same edge, just at different costs.
And of course, the real final result with leather will depend on how you process it when making your strop...
Stitchawl