I enjoyed shaking hands with friends & acquaintences, during my long career.
To me, it's a sign of respect, & is used so much, on many different occasions, in Westernized countries, even at Funerals.
Well good for you. Just because it suits you does not mean it suits everyone, and just because you consider it rude not to shake hands, doesn't mean everyone else does. I think it is rude for people to kiss you upon greeting, but the French think it is polite. It is all a matter of opinion, and since that is what this question was asking, I gave it, without the expectation that I would be criticised for thinking differently to the majority.
It doesn't irritate me. There are people who have a weak handshake because they are unable to grip firmly or it causes them pain. A person may have arthritis (even a young person may have rheumatoid arthritis), multiple sclerosis, Parkinsons disease, motor neurone disease,Guillain Barre syndrome or another condition. Polio or a stroke can result in muscle weakness.
Someone with a weak handshake for a medical reason may choose to shake hands anyway, even though they are self conscious about it, rather than explain their medical history to someone they have just met. (There are those who have resorted to wearing a brace to avoid both the handshake and having to explain their health condition.)
Someone with cold clammy hands may suffer Palmar hyperhidrosis or be very nervous.
Others may just have got it wrong and be unsure how firmly to grip.
Quite a bit of research has been done about handshakes. And, apparently, a weak handshake is a good indicator of future disease and/or early death.
This one time, I shook an older man's hand. I think he was expecting me to give him one of those cold, limp handshakes because when I shook his hand, he nearly fell over and gave me a huge smile. Best handshake memory ever!
No, I don't like soft hand shakes. A lot of women don't shake hands on meeting and I think that is pretty ordinary….but I also think that a lot of the time those women don't feel "entitled" to shake hands at all. Even the Queen shakes hands doesn't she…or does she ?
LOL, as much as I hate weak handshakes, I don't get irritated. It's just a part of personality ( or just some physical issues ) for some people, so I don't take it personally. I give them a strong one anyways :)