That's not true. Dropbox uses librsync so small changes of big files yields small diffs, thus TrueCrypt volumes work just fine with Dropbox.
No, the crypto in TrueCrypt doesn't amplify the number of changed blocks. But it does disperse the changed blocks throughout the encrypted image, and this does result in higher bandwidth used during the sync (at least with DropBox). Here's an analysis I did a few years ago: