Yeaaaaaaaah, RTD could've done a lot better with Rose during Series 2 and beyond. I don't mind the Doctor falling in love with someone, even if that someone's a companion. He's still a thinking person, and thinking folks have needs, and romance is one of the easiest ways to create drama in storytelling. Hell, I don't mind him obsessing over her so much, either; you love someone, you do tend to obsess just a little bit, and coming hot off the heels of a horrendous, bloody war in which the Doctor was directly responsible for the destruction of billions of lives, it stands to reason that he'd be a little clingy to the good things in life.
However, that still don't excuse her basically becoming a massive asshole to her loved ones, and reappearing in every David Tennant series as a major plot point. Poor Sarah Jane didn't get such royal treatment. Amy and Rory don't seem to be getting that treatment, either, which is good.
Then again, one could also argue that 11 learned from the love of 9 and 10, and how it could very well screw him emotionally in the end, and has since decided that such romantic things either weren't for him, weren't appropriate, or just weren't worth the pain, hence why neither Amy and Rory or Clara seem to have gotten that treatment.