Line Size Vs Lure Depth - Does it really matter?? (Sonar Testing)

How much does the line size effect the running depth of fishing lures?!? Does heavy line really make a bait run shallow? Is it better to throw light line to get your bait deeper? I put this question to the test with the help of live feed forward facing sonar, Garmin Panoptix. What do you think?! Wou...