One time I was interacting with a stranger (so long ago, I dont remember who. Possibly just a store clerk). At the end of the interaction they looked me in the eye and said 'Have a great day'. It took me off guard, but made me feel really good in a way I couldnt put my finger on. I now say the same thing to everybody I meet in my day, in the hope I can bring somebody else that same feeling and genuinely make them have a good day.
Question, where do you live? In America, and especially on the Pacific Coast 'Have a great day' is a phatic expression [1]. It is a common parting phrase and has lost any special significance that it might have once had within a conversation.
[1] https://en.wikipedia.org/wiki/Phatic_expression
If I lived in a place where this was a phatic expression, I doubt it would have made much of an impression on me as I would have heard it all the time.
I live in the UK where parting phatic expressions such as 'cheers', 'see you later', and 'take care' are common. But 'Have a good/great day' definitely is not.
TIL phatic expression
and ngl yes of course I read it as something else first.
Anyway maybe they were glad that someone threw them even a phatic expression at all? :)