Quick background...
Been shaving with a straight daily for the past month (since 06/15/2010 to be specific)...
My current strop is the "Filly" model offered by Rup Razor. My razors of choice have been various Torrey models. I have three Torrey razors in rotation that give me great shaves... they seem to strop easily and have proven to be very smooth shavers.

My question is... how much difference would I see if I were to add a cotton or other "cloth" second strop to my arsenal... such as the SRD Premium II which would have the cloth secondary strop?
I know that experienced shavers say that the cloth strop will add a noticeable difference... my question is "How much of a difference?".

To answer some obvious questions:...

My prep is good... I shave after a good hot shower.
My lather is good... been experimenting with a cream/cake mix, but have found cake soaps do best on my face.
My razors are sharp... they shave very well. My stropping and technique don't seem to be a big concern yet... I'm getting better, but my "first" razor is still very usable 1 month in.... very good shaves with no razor burn.
My Filly stop has proven to be a good strop... but I'm curious how much improvement I could see by moving on from it?

Any thoughts would be appreciated.