I think the personality resemblance (to a considerable extent) between Geno and Laimbeer appealed to Tina. My intuition is that she strongly prefers to play for a male head coach, preferably an alpha male.
They said that Tina was unsigned by the Sun. Even if she was not an unrestricted free agent (in which case no one would have needed to offer the Sun anything for her), she could have sat out this season and then left, with the Sun getting nothing in return.
Actually, I think the price that New York paid (#1 this year and next year, plus Ms. Bone -- the least valuable part of the package) was rather substantial, and suggests that there were other bids being made to the Sun for Tina's services. I still like the Tina-for-Nneka idea, and I think the Sun would have taken that if it were offered, so I can only guess that it was not offered.
The Sun won 10 games last year. I think they will be better this year and will win more games, but not make the playoffs. Next year (hopefully with a healthy Chelsea Gray and maybe KML?) they should be a playoff team.
Anne Donovan won a WNBA championship as a coach as well as an Olympic Gold Medal. She is not a bad coach. She may not be as good as Mike Thibault, and certainly does not seem to command the loyalty of her top players as Thibault did with Tina and Kara, but she is no "hack".