One thing to keep in mind is that oil will work more slowly than some people (yours truly included, of course) realise. So I had this brand spanking new SRD Premium I, and I thought, 'it could use some more draw'. Applied a bit of neatsfoot oil - no change; added a few drops more - hardly any change; drowned the bloody thing in neatsfoot oil - nice. Two hours later, the strop was ready for the garbage can. I tried a variety of things to get rid of the excess oil, but none really worked. I have given it to a number of beginners for practising since.
That said, I recently received an SRD Natural. That one is their new entry level product. Bit on the aesthetically unusual side, and very little draw out of the box. Talked to Lynn about the proper breaking in procedure, and he said what Paul said. So I rubbed my palms across it until they became warm. The whole process took about a week, and it now has perfect - for me, mind you - draw, just as planned. It also works surprisingly well for a strop so competitively priced.
So it really is down to your initial choice of leather. I have three strops by Torolf, and they all came ready to use, and developed little additional draw. But the leather is in a different league entirely, much thinner, more supple, and softer. I really could not give a recommendation, by the way. And realistically, unless the leather is badly tanned, or the craftsmanship leaves something to be desired, a strop is a strop. They work, end of story.
Regards,
Robin