If they sounded the same, then it wouldn't matter which one you kept and which one you got rid of. But they don't sound the same. I think the Link is a little fatter sounding. The Link takes more control to get the bottom notes to sound full from what I heard on your clips. Don't know if you need a different reed, the Link tuned-up and/or your sax has leaks. My Florida Link was tamed after a tune-up. It was even better after I got my horn overhauled, too. I know, some one is thinking, "Well, duh!" However, my medium bore hard rubber mouthpiece didn't seem to have a problem with the leaks. I thought it was just the Link.
The Law seems as though it is easier to get the notes to speak and is therefore smoother on the bottom and in the altissimo. The trade off is the tone, though. I noticed how you gave the low notes the "Brecker vibrato" because it was easy to get and stay there.
Bottom line- The Link has that full and fat sound. The Law has a full- modern sound.