I'm not that into the TPP from what I've read of it, but doesn't bailing on it just open the door for China to take the leadership role and dictate commerce norms for those still involved?
The TPP seemed to be more about free flow of capital, rather than free trade as such. Free trade is probably a good thing, but the TPP didn't include free movement of labor, which is certainly a good part of free trade.
The TPP was more "Globalism for me, but not for thee" from the multinationals.
And since Trump's government is backtracking to protectionism, manufacturing jobs will less likely be delegated to countries like Vietnam, and countries like Japan doesn't have its back from US to confront China(Abe must be scratching his head right now, lol), I think it is much less appealing for those countries to hand over domestic control over regulations in exchange for something lesser.