Countries aren't getting screwed over, citizens are, certain industries or interests in each country are. These trade deals throw certain sectors of the country under the bus in favor of other sectors as they must.
And the ability to rubber stamp a 6,000 page monolithic treaty which has already been agreed to is a complete joke. It's about as democratic as a parent asking a child, "would you like to go to boarding school or boot camp?" The democracy happened during the negotiations and amendments -- at that point the needs of each constituent were considered, included or excluded, compromised. Unfortunately the citizens of these countries or their elected representatives or anyone willing to represent their interests weren't invited to that party.
The negotiation would be harder, sure if it were public but that's because making an agreement that is fair is a lot harder than asking corporate lobbyists to narrate a wishlist and typing it up. All they had to do was reconcile the many, many different wishlists (still very hard), not put forth an agreement that actual citizens would approve of (much harder but what they should actually be doing).