A lot of people double up M86 with like some other memory testers. In my experience I haven't come down to false negatives. Or did you mean false positives? I mean, when I get errors, I assume it's bad, Athlon or not.
You might also run another test that is called JUST "memtest". It runs IN windows and is just a small program. It will grab up all the free memory in your system and start churning it around, which, as XP swaps RAM back and forth to swap, if you let it run long enough, it will eventually cover all the RAM. But because it works in Windows, it can fish out compatibility issues. That might be good to run. I think you can get it from PC World downloads. It's good as a RAM stress tester too just because it runs in Windows and will use up all your RAM. Testing stability in Windows environment.
Anyhow, the only RAM testers I've ever used are memtest, memtest86, memtest86+, and Micro2000. They seem to fish out all the problems well enough.