According to the NFL Draft Value Chart, it does: http://walterfootball.com/draftchart.php
10th pick - 1300 points.
Now lets assume the worst and say the Chiefs win the Super Bowl, because of course they will now that we gave them our pick.
27th pick - 680, 32nd pick next year - 590, last pick of 3rd round - 116. Total 1,386 points.