The mystery is solved as follows:
neitherNeither eyes nor memory of the asker were in doubt.
As shipped, the Intel i7 2635QM did notdid not support AES-NI!
Meaning if you would open a box from an abandoned warehouse with factory sealed MacBook Pros from 2011 this would still be the case today.
Evidence for that is found in a contemporary review by AnandTech:
p5: Core i7-2635QM – AES-NI – No
But that feature, as it turned out, could be unlocked later via software update.
And Apple did that with a so called EFI-Update containing that processor configuration update/unlock a few months after Intel released it. Sadly they failed — as usual — to disclose what they did with such an update, although this was a very welcome addition.