The AMO standard is what it is; loop to loop length is 3" less than the AMO number. It has nothing to do with the length of the bow as measured along the belly. Doesn't care if the bow is a recurve or longbow. All that being said, if they were trying to make it easy, why the 3" difference. Why didn't they just say the AMO length is the length of the string which properly braces the bow? Then the the AMO and loop to loop would have been the same. End of confusion.
When I order a string, I order the loop to loop length and have the seller measure the string for me, regardless of how it is marked. As mentioned above, there is too much confusion among bowyers, string makers, shooters, catalog houses, etc. If a catalogue house is not willing to open a string package and measure it for me, they don't get my business. That is the ONLY WAY TO KNOW WHAT YOU'RE GETTING!