Barry should move past Eobard/RF, yes.
However the writers have made sure they are inextricably linked.
RF comes into existence because of the Flash, and vice versa.
If RF is truly erased from time, Barry shouldn't be the Flash, etc etc.
Also the show has shown the future can be changed, Barry goes forward to the future to learn how to beat Savitar, but now that future is altered and likely negated, so with all the alterations and time breaking from the Legends, RF could still exist.
Sad to say.
I am also aggravated by the inconsistency but I LOVE how Tom Cavanaugh interprets and plays RF. He portrays the unbalanced nature of Thawne yet adds a certain amount of menace that was missing from Matt Letscher's version.