Artemetra,
My 3AT collet collection includes Precision and half a dozen other brands. After you posted your question, I compared the Precision ones to several of the others and the others among themselves and find quite a length variation. Both between collets of the same brand and between different brands, and both in LOA and in the length of the taper. I have 3AT collet drawings from three different sources, Logan, Hardinge and unknown. None agree on all dimensions. None show how long the threaded area should be. And aside from the Hardinge, the other two are missing some other dimensions. So my take on all of this is that if you have two alike with different brands or of different ages, it's a minor miracle! I found three distinctly different versions made by Precision. I didn't compare each of the other brands among themselves but wouldn't be surprised to find some of them don't exactly match.
I have never seen what I would call a collet chuck for a 3AT. Only handwheel operated and lever operated draw tubes. Aside from the little European ER types and the rubber-flex types, all of the collet chucks I've seen have been for collet sizes too large to fit into the spindle bore (like 5C). Where did you find it? Could we have a photo? As for the difference in length making some of the collets unusable, I have a 5C collet chuck for my Atlas, and it would easily handle the length variation that I found (about 1/8" total) if it were for a 3AT. It would be inconvenient to have to readjust it but the lever type closer I have would also have the necessary range. And the handwheel one would just screw on a few more threads.
Two comments on the D Turk paragraph that you copied in. I don't find that the difference in taper (about 3 deg. per side) makes the 3AT any harder to close than the 3C. I do find that the 3AT collets are self releasing and that the 3C are not. With the handwheel closer, to release a part held in a 3AT, I just have to loosen the handwheel. With several 3C's, after loosening I have to hit the handwheel with something to get the collet to release. Consequently, despite the better availability of 3C, I decided to go with 3AT. Second, his statement about the difference between the threads is approximately the difference in millimeters. He should have said so as at first I thought he was 'way off in left field.
Robert D.