I think that has more to do with getting away from Iowa and New Hampshire since those states have shown a surprising level of support for candidates outside of the preferred establishment picks.
The preferred establishment picks still have to win. Biden didn't do well in Iowa in 2020, though potentially because Biden's Iowa campaign was run very poorly. [1]
On the other hand if a primary chooses a candidate that ultimately produces a winner in the general election, they probably should go first the next time.
Iowa didn't vote for Bill Clinton in 1992. But as it was for Biden, it was after Iowa where Clinton got momentum (in Clinton's case Georgia). [2]
I think that has more to do with getting away from Iowa and New Hampshire since those states have shown a surprising level of support for candidates outside of the preferred establishment picks.