Having just been flight-delayed in Amsterdam and parked in a hotel overnight by KLM, I can confirm after waiting in the hotel shuttle area for awhile, that the 2 hotels are serviced by the same shuttle. There seem to be a ton of hotels near to the airport, all with shuttles, plus a couple on the airport property. If all you need is a place to sleep, I would just pick one and be done with it.

Thank goodness for free internet access at this hotel - gives me something to do today besides watch planes take off and land! I'm now realizing how different Dutch is from the German I learned in high school. Hopefully by this time tomorrow I'll be close to home, but have to make it first to Detroit and then to Atlanta.