Yes, but those are only trade and border agreements, and don't give the EU influence on internal political matters. Compare similar trade agreements between other nations, such as between the United States and their neighbours.

> Yes, but those are only trade and border agreements

Honestly goods and service regulations are probably the biggest infringement of sovereignty as it signs all of your companies up to arbitrary standards. That may be a good idea, but to pretend that it's somehow less important than other pooling of sovereignty seems strange to me.