In case you missed it: my Dad posted a reply to my post about the SAT in the comments box. In his words, "Since its inception, SAT scores have always been multiples of 10. Therefore, anybody who says that he made something like 1206 or 1355 is either lying or has a faulty memory." People in the lying-or-forgetful category include GWB, Al Gore, Ben Stein, and Bill Bradley. Since my Dad is in the same generation as GWB and Al Gore, I'm trusting his accuracy on the matter of whether it was possible at the time to get a non-multiple-of-10 score.
In a related matter, Dad notes that SAT scoring did change in 1995, but not in a way that affected the multiples-of-10 issue. The "recentering" of 1995 was designed to "correct" for the gradual decline in SAT scores that began in the 1960s. The result is that pre-1995 and post-1995 scores are not strictly comparable; the post-1995 scores are (at least for the upper end of the range) higher. For more details, read Dad's comment.
One last complaint. Am I the only one who's tired of people referring to the "SATs," plural? My understanding is that the SAT is conceived as one test with multiple parts, not multiple tests.