OK, all in fun now: This absolutely IS true. As a prior fighter pilot, I can attest to this statement's veracity. AOA has everything to do with stick position.
Yes I am a former fighter pilot, but that doesn't change what rules angle-of-attack follow. During my instruction and particularly when giving BFR's, I
demonstrate that stick position equals "alpha" (AoA) by doing the following: I do a power off, level, one-G stall, and ask the other pilot to carefully note the stick position. Then I do an accelerated stall at about 2 to 2.5 G's, and again carefully note the stick position.
For all practical considerations, the stick positions are the same.