It doesn't seem like there is much of a difference between Business/First MileSAAver vs. Business/First Anytime (except that Business/First Anytime requires more miles. It looks like the main difference is that travel embargo dates can affect Business/First MileSAAver.
At this time the AA site says: "Travel embargo dates There are currently no travel embargo dates on American." Are Travel Embargo dates something that I should be worried about? What could cause a Travel Embargo?