I think things have changed for good and ill in terms of now as a society we process dogs.
I was with my mum the other day walking one of our regular walks when a goldie I've met before began pestering pupsy, after the initial two-way hello. She didn't seem to mind but she was busy hunting so I called her over and encouraged the goldie away, and said to my mum, ugh, I hate it when that happens. She was relaxed about it and said what was the harm, and I said that the owner (who was, incidentally, nowhere to be seen) had no idea what their dog was doing and shouldn't let it approach random dogs it doesn't know, as who knows what they might be like. My mum thought this was rot and told me I was being stupid, saying dogs have to say hello.
I'm not uptight about it but I am careful as if pupsy bit another dog that approached her and wouldn't leave her alone (though I've no reason at all to believe she would) it would be my fault. And so I don't let her run towards randomers like the goldie did to us. Different with dogs we know obv. But I do think about these scenarios a lot to try and judge my own reactions to them. My conclusion is that it's fine to be cautious and ultimately I'm just advocating for my dog. Maybe it's unnecessary, I don't know, and I must have got that idea from somewhere new as it clearly wasn't from my mum, who has her own superb dogs. So that's one end of the stick.
On the other hand I remember about a year ago we were at the garden centre when a small child ran over and threw her arms around pupsy, no parent in sight, screaming 'puppy!' Dog-dad and I stood there open-mouthed until a totally unconcerned father appeared and somehow the interaction ended. The mind boggles.