If you managed to strop your razor with the cutting edge leading, and didn't chop up your strop, then you have done extremely well. I can't say you didn't dull the razor but it's not irreparable, either.

If the shave wasn't really harsh, then you probalby did extremely nominal, if any, damage.

Wth my luck, if I'd tried to strop in that manner, my strop would be lying oon the floor in ribbons!