Thanks to the warnings on here, I was able to tell my bank a resounding "NO WAY!" when they strongly recommended I install this software for my own security. The folks I spoke to were not aware of any problem, and tried to reassure me there had been no complaints.
They did imply that I must install it to remain a customer, to which I replied that I had enjoyed being a good customer of theirs for the past 40+ years, but that would end if they insisted. They didn't.
We shall see.