Grodd referred to Wally as the "False Flash" in the Perfect Storm arc. The same arc also had him called a pretender, a rookie, and had Barry being the real Flash thrown in his face.
Wally is actively looked down as being incredibly inferior to Barry by the villains and the "other heroes" grounded his team like they were kids which shows how little respect they have for them. Wally has been treated in-universe as if he's still Kid Flash and Barry's sidekick by other characters.