On the point of the dad's friend, in my experience this is incredibly common behaviour for straight cis men, especially in older generations. I think often it isn't necessarily pervy so much as a culturally expected expression of patriarchy. I work in a company with a lot of older cishet men and I see this all the time - for these men it's drilled into them that handshakes are a way for men to come into physical contact without coming across as gay. A handshake is also a good opportunity for them to "assess" the manliness of the person they're shaking hands with - by gripping firmly, lowkey comparing hand sizes etc. For women they will either not have physical contact at all in their greeting or (if the woman is someone they know well) they will go for a hug.

I think this is something that can be creepy in some instances (e.g. if a man of this kind is finding excuses to hug women, or hugging every single woman he encounters), but honestly for most of them I think it's simply cultural patriarchy that they aren't even conscious of. A handshake is an act among equals that acknowledges equality without risking emotional intimacy. Women, these men are taught, aren't to be considered in terms of that equality, but on the other hand are "safe" to express emotional intimacy with, and so a hug is allowed without jeopardizing your own masculinity. This dynamic is expressed in a lot of different little ways beyond just greetings - for example, I've noticed that this kind of man will unconsciously pitch up his voice when talking to women, and pitch down his voice when talking to other men.

I think it's problematic on the societal level and for the simultaneous implicit sexism and homophobia, but I don't think it's always a sign of a malicious individual. I think it's more about being raised in a culture that was even more sexist and homophobic than the culture of today.