I think Two-Gun's status got some additional credibility from the She-Hulk storyline, where somehow time was broke and she got to rescue one time traveller from the TVA and chose "the Avenger" (meaning Two-Gun). This saw Two-Gun brought forward to the future again when he appeared as a regular in her series. It shows at least she considered him a fellow Avenger.
TGK is one of those retrospective avengers and I can live with that. Whether that She Hulk run could give anything additional credibility is a bitter pill to swallow as for my money it was ruinous. The TGK bit was a nice twist and a set up to return someone else - I forget who - which was a fun trick. The art was sometimes good on that run and that is the nicest thing I want to say about it.