So, what is true is that despite your personal opinion, the facts remain that the Confederate government did offer access to the Mississippi and did offer compensation to the Union for Federal property seized.
I believe that about does it.
Neither is true. We will never know if lip-service paid about keeping the Mississippi open was an honest offer or a ploy. And no such offer to pay was ever made by the Davis regime to either Buchanan or Lincoln. Not that I've seen.