Yeah, the entire Robin/Bucky concept is pretty dumb.
Not to mention the fact that, there have been, like, three of them. I mean, Batman himself is only supposed to have been around for 10, 12 years max. That would give each Robin a max average of four years from the beginning of his training to the point where he either retired the name, died, or reached present day (and for that you have to be willing to accept the idea that Batman started training Dick Grayson at the beginning of his own career).
Four years each. Consider for a second that kind of turnover rate. It's not like there's an overlap. He doesn't start training one while another is still out there (though he might as well). From start to finish, Robins last four years.
How long does each Robin fight crime? One year? That seems a little quick. Well, it can't be four, that wouldn't leave any time for actual training in the Batcave. Two years? Two years of fighting crime and something happens to you? That means a guy who supposedly trained himself for about eight to ten years to fight crime quite likely decided to unleash barely pubescent teen boys on the bullet filled streets after about two years worth of training, maybe even less.
No wonder they don't last very long.
