As others have said, it is generally an operator issue. Though 1990's Singer definitely pulls to the left (I find myself fighting to keep the fabric feeding straight), but that may be an issue of lint in the feed dogs also...
I currently sew on a Bernina 801 (1970's) and use a stack of 1/4 inch tape as a seam guide. I have one of the scant 1/4 rulers to help me align the tape correctly.
I would be wary of setting the needle to a position other than the center in case of forgetting later and ending up with the needle striking something it shouldn't strike.
Cheers, K