From 2013-2020 The Cowboys have drafted 22 players. 7 have been pro-bowlers. 5 of their 7 1st round picks have been pro-bowlers and that includes 1st year player CeeDee Lamb. The only pick not to make the pro-bowl was Taco Charlton.
The Cowboys have 2 second round pick to make the pro-bowl. Since 2013 the Cowboys have only traded away 2 draft picks, one was for Amari Cooper. Of the Cowboys 7 pro-bowlers, Frederick is gone, Byron Jones left via Free Agency and LVE is injured again. But one could argue, LVE and Jaylon Smith had one good year and are nowhere near pro-bowl form now.
The Saints have had 28 picks in the first 3 rounds. 5 have made the pro-bowl. Of 9 first round picks only 2 have made the pro-bowl. They have traded away 5 draft picks.
If the Saints are better than Dallas it is not because of the draft.