Trump and power

Trump announced that he was going to pull the US out of TPP and was going to negotiate bilateral trade deals. To get better deals for the US: ‘to bring jobs and industry back’. The implication is that America has more of a bargaining power in bilateral rather than multilateral trade deals. Is that correct? Usual power indices, I think, suggest otherwise. [1] As trade deals are contracts, both sides, and in multilateral agreements all sides, need