Sure, but for every JD 5 there is a Jalen Hurts, Lamar Jackson, or Jordan Love that falls in the draft to a spot where you could take him even if you do have a mediocre record. And I mention those 3 because the Saints could have/should have drafted all 3 even when they were having double digit win seasons. Even with Mahomes they would have been able to draft him either had Payton not blabbed how good he was to Andy Reid or had they done the Saints thing and traded up to draft him. And that was coming off of a 7 win season while trying to win 10.
The Saints problem isn't that they have never been in position to draft a franchise QB to replace Brees, it's that they have refused to take those shots for the last 40 plus years and in particular in the last 10 or so years. The Saints have vastly under-invested in the QB position in the draft.