I see this as actually giving power back to the people.
Companies are not democracies. Especially multi-national corporations and the lobbying arms of entire industries are in no sense representative of the will of the general public -- or even of their own employees (see unions)! This is significant because it is categorically not possible to actually choose not to interact with a particular corporation. In fact, the historical truth of that observation is the root cause of environmental, health, and many other regulations.
A defining characteristic of democracy is one person, one vote, and it is that characteristic that safeguards the will of the people. There is no corporate structure (other than unrepresentative radical experimental structures) that even conceits to affording one vote to each person. In fact, there's no provision of the TPP that requires the suing company to be publicly traded, so in some cases it may not even be possible to buy votes.
If anything, corporate structure creates a multiplier effect on the influence of single humans or small groups of humans thereby corrupting the one-person one-vote intent of democracy. While I agree with the philosophical kernel of the Supreme Court's citizens united ruling that money is free speech, just like many things, at large scale, it has unintended side effects that need to be thwarted by campaign finance reform so that some people don't have MORE free speech then others.