I'm glad you were able to understand what I wrote
Like you have found, a slim strop can make it easier to bias strop to a part of the blade. Not that you can't do it on a wider strop, just a slimmer strop tends to "do as it's told" more readily. |\|/| is possibly a better sign for the stroke.

I started stropping this way when I started because it is easier to learn than X or sweep stroke. When I became more confident in stropping I progressed to the other techniques, but still fall back on this for framebacks and heavy smiles.

PuFF