I kinda have a feeling that Imperial education wouldn’t be focusing on the Jedi too much, though. Somebody like Anakin Skywalker would get a tiny footnote, at most. Luke already is confused about the Force alone, after all.
Granted, if the Empire were strategically smart about this detail, they would have Imperial propaganda say that Anakin was the only Jedi who didn’t turn on Palpatine and died protecting him from the assassination attempt that left Palpatine “scarred and deformed”.
EDIT: The most likely canon answer, though, is that the Empire says Darth Vader killed Anakin Skywalker since we know they say he died during Order 66 in canon. So my first point still stands.