You're talking from a small window there, and ignoring everything as a whole. Damian wasn't the only one in a bad Teen Titans book, Tim got that as well with New-52. Damian has also had two solo's since the New-52 hit, Robin: Son of Batman, and his current one. Not to mention Damian also played prominent roles in large Batman events canon wise(best out of all Robins). Including non-canon stories as well; Injustice, Batman/TMNT crossover, Deceased, etc. Dick would be right up there with him, and Jason to a lesser extent.
Again, Tim being in Tec. was yet another overcrowded team book situation, and Tim was never the face of the Young Justice series, but rather 'ROBIN', which he was marketed as. Tim being the 'privileged' Robin just doesn't measure up, it's simply not true. He has yet to be in a book that solely focuses in on him, and grants him development. All other Robin's have had that opportunity from the New-52 up until now. Urban Legends is the first time we're seeing Tim receive a character driven arc that isn't diluted by the presence of an overcrowded team.
Just to be clear, not saying Tim has been shafted or ignored, merrily pointing out he is far from being 'privileged'.