The developer for T-Max was made by Kodak...and formulated to offer the best grain AND to develop full emulsion speed...which is something that other, traditional developers suck at.
T-Max Developer B H Photo Video
Bottom line is the image he presented was made using a film that is utter rubbish for push processing in Rodinal. Twenty years out of date T-Max 400, and then he pushes that two stops AND makes a bad developer choice? Come on...as was said above by pixmedic, the result of the entire outdated film/pushed to 1600/guessed development time/wrong development method is.... a binner. Don't shoot the messenger, okay, timor?
Stand developing in 1) a developer designed for traditional silver-type emulsions when was it? Before World War II? Stand developing on 2-stop pushed AND twenty years out of date T-Max 400? All bad choices, but what the heck.
As you mentioned, T-Max is a good film...buuuut....the choice of the wrong developer, and the wrong type of development (stand), and the 20 years' outdated film lead to...a muddy mess witn zero shadow detail, flat tonality, blown out highlights in the upper areas, and overall, golfball-sized grain (Rodinal's speciality!!!), and flat, ugly mid-tones with almost zero microcontrast...
The proof of my opinion lies in the results...yeah, an image was made...and technically, it's very poor. But I know what he was after...just pop a roll of film in, push it two stops, and then take a wild guess at developoing it with whatever developer he happened to have. Obviously, poor choices, Timor. You ought to know that. And again to re-answer
the first dumb, aggressive, insolent question you asked, "What will be the film developer designed for t-max?" is the one Kodak spent millions of dollars formulating...
T-Max Developer B H Photo Video