The main difference about The Doctor and River attempting to rile up and test Rose was simple. River was better at it.

"Did you now? Then I suppose that's something we have in common, though I have a feeling we went about it in completely different ways. But, my way definitely made quite the impression on his future self. Otherwise, he wouldn't have proposed and married me on the spot." She just smirked faintly. "Did he do an Earth wedding with you, or a Timelord wedding?" Part of her was actually curious on that fact.

As for the rest... River just smiles. "I believe I've already stated that I don't mind sharing him. However, lets make one thing clear. I love all of him. No matter the face, no matter the time period and I understand there are times where he doesn't know me yet, or love me yet. But, that will never stop me from loving him and that will not change how I interact with him. That's just how our relationship works. I am there when he needs me the most and I am perfectly happy with that."