Joseph
1) must does not equal yeharg veal yaavor
2) Rav Heineman pretty much explictly said that beshas hadchak. He also explictly said that he was following R’ Aaron’s view shaking a wonas hand was allowed.
Even if R’ Aaron didnt hold that way Rav Heneman definitely does.
So as to “Please cite any first-rate posek who disagrees with this strong position of the Chazon Ish, the Steipler and Rav Moshe amongst many others.””
so we have (at least) 2 who disagree with the “Strong position” of the Gedolim you mentioned.
Please note: you didnt ask for any posek who says lechatchila it is ok to run around shaking womans hand.