I would think so.
When shooting film under fluorescent lights, everything comes out with a green tint.
To compensate you can use a magenta filter.
Magenta is reddish pink.
So I would assume the digital camera is adding a bit of magenta color when the white balance is set to fluorescent.
I just purchased the A75 I think its great I have been exploring it's features. So many I think I've gotten a little confused. (camera novice) the subjects I shot have a red tint would shooting in floresent mode be the cause of that?