I recently received an Ralf Aust 6/8 Spanish point from SRD along with the other necessary accouterments. According to SRD, the razor arrived shave ready; but, should I still do a pre-shave strop?

On a side note, If I take a hair in my hand (one of my wifes!), should the razor be capable of slicing it like I was slicing a banana or a carrot? Or is this an unrealistic expectation. When I try this, it does not cut. Now I'm not saying the razor is not sharp because it is. It pops arm hairs of in the middle of the hair shaft. I just wanted to get a gauge of what is shave sharp and beyond.