OK, I tried it again with a smaller file, a 3 minute song (Frenesi, Artie Shaw) and the result is similar but not nearly as large an increase, only 1688 bytes out of 30 MB, an increase nevertheless.
The original aiff file was 31,599,044 bytes: it resulted in an Apple Lossless file of 12,645,941 bytes (a 60% decrease). When converted back to aiff it was 31,600,732 bytes.