Three major differences:
1) Reagan was totally disabled at the time and not far from death's door. (If Clinton was suffering from a fatal disease, there might be some merit in not wanting this shown. - of course one could argue that Clinton IS suffering from a disease)
2) The Reagan movie WAS shown - albeit on Showtime instead of CBS - but it still was shown without "edits".
3) No Republican congressmen sent implied threats to CBS about their broadcast license.
Your points are good. See my 20