Though I've been using pasted hanging strops, I'm moving more to the mounted strops because it seems to me that touching up a razor with a pasted hanging strop kinda defeats the purpose because the flexibility and deflection of the strop results in a slight rounding of the razor's bevel; whereas, touching up the razor on a pasted paddle/bench strop, because of it being a solid surface, tends to maintain the bevel's configuration -- or so it seems to me.

I'd like to know your thoughts on the pasted hanging strop vs. the pasted mounted strops, please. And thanks in advance for sharing your insight.