I am a firm believer in "right tool for the job" idea.
Russian/Latigo leathers are great renovators and general all rounders.
Cordovan and horse, calf etc are finishers and delicate edge specialists.

Draw on Russian and Latigo is medium to heavy.
Draw on horse etc is nill to light.

I would conclude that draw has a marked effect on an edge once damage has taken effect or if slightly overhoned etc, where horse etc would require more reps to get the same result. Horse etc having less draw and texture is the Echer of the strop world. linen imo is a must combo with a Cordovan/horse etc strop to give you the variation.
I have a horse/Latigo combo from TM that works great in this respect. Big up Tony!!

PuFF