I think that would've been a great idea, even if it was only short term. She would have been a great advocate, being full Betazoid. Her ability to read adversaries would have given Picard an immense advantage in dealing with his diplomatic duties as well as Federation wise. That would only work, though, if she were able to temper her mouth and keep her opinions to Picard and not speak out like she is so prone to do.

That all being said, the popular consensus was for Picard and Crusher to get together, which they eventually did as shown in future scenes in the final episode. It would have been nice to see the changing dynamics of their relationship as Picard finally saw his love from afar come to fruition. Too bad that wasn't explored, except for in very short scenes throughout the series.