You are so right,
Reindeerflame. Folks often stay at airport hotels exactly because they have to catch a very early morning flight the next day.
Personally, we have never really run into any problems checking in very early, even 6 or 7 a.m., as long as we are willing to take whatever room is available and don't want to wait for the suite that they had tagged for us is cleaned and ready.
A couple of weeks ago we arrived at AMS very early in the day and had to wait in the club for about 20 minutes while they prepared our suite, but that was OK. The upgrade was worth the wait.