I don't think you can "overstrop" if all mechanical variables stay equal during
the stropping (ie. same stroke everytime on same kind of undamaged surface).

50 to 100 laps on linen or leather won't produce enough heat to change the tempering of a razor's edge, as thin as it is. Temperatures for tempering steel are between 300F to 1200F, in the lower or higher ranges.

I think it's just very easy to not strop correctly and that's not due to the quality of the strop. I think if your strop (and technique) is smooth with no cuts, nicks, abrasive contamination, etc... you should get good results.