I agree with you.
I find that a strop with very heavy draw (eg, the old style, thick and oily latigo) bring out the edge very fast indeed, and I think that is not a bad thing, for a novice user for example. The trouble is, they do not refine the edge any further. You need a drier, faster draw strop for this.
Most bridle leathers are waxed and oiled. Depending on the degree of wax, they are poor or very good. Too much wax is not good. I have unrolled some hides that had great layers of solidified wax falling from them - good for outdoors or ranch wear or saddle making but not so good for strops.
I have been experimenting with an oiled leather - a little too oily from the tannery, but I have removed oil to the degree that it is now a fine strop with a surprising draw - medium, not heavy at all.
In fact nearly every smooth faced strop has undergone oil treatment (hot stuffing etc) during the tanning phase. Heavily oiled strops, such as chrome excel (steer hide) and even would you believe shell cordovan, are termed 'pull-up' leathers because pulling or creasing them (not recommended) brings the translucency of the oiled leather out as bands of lighter leather.
Napped leather has been used for many years - in fact, all leathers (bar the skin-faced top layer that are made by 'splitting' the leather ie using a machine called a skiver to split it in its width to two or more layers) have a milled/napped face, which may be soothed, imprinted with a pore-pattern or sprayed with some compound to make it look more like the skin layer
In fact. if you buy a 'regularised' or 'corrected' grain leather, than this has had the surface milled to get rid of imperfections before having a pore-pattern re-stamped on it. It might be left smooth like the strops dovo make, or finished with a coating to make it smooth again.
Regards,
Neil