Years ago, when Ray from Classic was still alive, he gave me a bunch of Dovo pastes including the white and some of the TI white paste.
As far as the Dovo white paste, I tried it on several vintage strops back then, using it with the cotton and linen strops and really never noticed any appreciable difference as a result of having put it on the strop. I never used a full tube, but used enough to coat the strop pretty well. You definitely have to let it dry before using and once does it darkens on the strop quickly with use.
Normally the edge on a razor should last someone with regular beard growth, using the same razor every day, 2-3 months before it starts to dull and needs to be honed or refreshed. I think the test on this would be to see how long you can go before needing a touch up or honing as a result of using the paste rather than a proclamation at 30 days that your razor is still sharp (which it should be anyway). It would also be interesting to see what the results are with a variety of razors, vintage and new and from various manufacturers.
I have not tested the white paste with the poly webbing material and may to see if any difference than what I got from cotton and linen.
On the TI white paste, it actually will make a razor sharper sometimes. If I line up 10 razors fresh off the hones and do 10 strokes ( I also experimented at 15 strokes and 20 strokes, but found 10 was optimal for me) with the TI white on either the back of a leather strop or on the cotton or linen strop, I could normally rely on 3-4 of them really providing a nice shave. I played with this stuff for months. I never could figure out what razor it was going to work on, what razor it would dull and what razor it would seem to do nothing on. The TI white paste really loads up quickly and turns black almost from the first razor that hits it.
Have fun,
Lynn