I think that about 20% of TPP did, as you said, deal with real trade, but 80% dealt with treaties that would override individual nations' laws and use private 'courts' for disputes.
In terms of public perception, perhaps. In reality? The parent comment is correct: we let ourselves pick out the parts we didn't like, with a dash of knee-jerk opposition to "secrecy" on top, and completely ignored the broader context (trade, security, and international politics).
It wasn't concern for little countries or even anti-IP sentiment that killed the TPP in the US, though that provided useful cover, but nativism as embodied by Trump.
