Sigh…
Ok-Pashuteh Yid- I will respond to you later as you deserve, time doesn’t allow me to now.
But for the record, there certainly is Halachic Basis for permitting a married woman to shake hands. The question is limp handshake considered affectionate or a mere business formality. The question is it a Maaseh Chibah; there are two valid Halachic ways of looking at it. Actual touching is not forbidden – remember, in a medical context we permit most things, because there is no maaseh chiba. If indeed, it is a mere formality, which you could do with your absolute worst enemy and merciless competitor – then it would be permitted. Even according to the Chazon Ish. The question is it a sign of respectful affection between two colleagues – then it would Yeharog V’Al Yaavor.
Which is it? I am not sure. Neither are many Rabbanim. Some are. Some say it’s assur. Some say it’s mutar. Elu V’Elu.
It certainly is not ‘obviously wrong’.
I have no problem believing that SJS received such a heter.
I personally am stringent on this matter, even when it means insulting a potential client (thankfully, respectful tact and humor have always pulled me through). But let us permit our minds to keep working.