I was at work answering phones and was thinking about the ways we initiate conversation or say phrases before tackling the reason for this communication. Some people mean, others are just their form of acknowledgements. It’s another type of handshaking. In other words, it’s how we initiate communication before we can exchange information (the lead/follow aspect of the dance).
We also do this (or we should) at social dances. Use your words – “would you like to dance?” Perhaps even “would you like to follow” or “would you like to lead?”
Please don’t be like my friend (who I do appreciate) that comes in with big eyes, palms down, arms upraised.
But do consider your words. I understand there might be shortcuts in play if you know the person, but it’s nice to be asked and it’s nice to ask. It sets you up for a good social dance.