If the whole concept of Robin didn't work or ruined the character of Batman, it wouldn't still be around and used in pretty much every incarnation of Batman some 60+ years later. Many of the best Batman stories features a Robin, and the best non-comic medium of Batman, TAS, used Robin very well (Robin's Reckoning is probably the very best episode TAS ever did).
Hes not going anywhere anyway, Batman & Robin is to ingrained into pop culture, you ask 1000 people to name someone or something associated with Batman and 90% will say Robin, not the Joker, not Catwoman, Alfred, Gotham, Batmobile etc. If DC had a big four, it would be Superman, Batman, Wonder Woman and Robin.