Shlomis Bas Divri is the one who is criticized for greeting men. Bruria is the one who told a Tana off for not speaking in shorter sentences.
The Gemara in Keddushin also says that EIn Sho’alim Bishlom Isha, you don’t send regards even through her husband. (Technically, you might be able to differentiate between regards and asking how are you, and merely saying Good Shabbos especially where it would be an accepted social norm.)