Do you wish Happy Birthday to a person who does not wish you back the same?

I mean it is a person you do know but you are not friends, or close friends or even see each other, but you uses to be classmates when you were in high school and talk to each other back then. Now this person got married have kids and live in another country. So this person birthday person is today and all the former high school classmates from her former high school for courtesy wish her HB because they know the lady, obviously and she know who they are, but they never were good friends or close friends and besides she lives in anotehr country now, but even if she lives in another country she never wanted to be included in the "Former High school classmates Whatassp chat group" like the rest of the ex classmates. I mean there are other former high school classmates who also end up living in another country with their families but they do keep in touch with the rest and they want to be included in the chat group, unlike this lady.

So on FB this lady is receiving congratulations beacuse she turns the big 50, and she is receiving wishes from ex classmates the ones she never get in touch or is close or anything, they do it for courtesy I guess. And also this lady did not wish you HB when it was your HB anyway.

Will you wish her too just for courtesy or not?
Do you wish Happy Birthday to a person who does not wish you back the same?
Post Opinion