I'm not a fan of Lee dies, and have not seen their videos, but I have 45+ years experience with what works for Lyman, RCBS, and others.
You asked if screwing then entire die assy would seat the bullet deeper in the case. I said no, because it does not, under the conditions you described.
There are other conditions where it could, but those are not what we are talking about here.
Does turning it all down a thread (or a half) shorten the OAL? yes. But the distance relationship between the end of the bullet and the case mouth remains the same. So your crimp stays in the correct place on the bullet. The OAL of the round is slightly shorter (by the amount you lowered the die body), but why do you care????
The tiny difference in OAL length is insignificant.
Here is the method that has worked for me.
Run a case all the way up to full ram extension.
Screw the die body in until it just "kisses" the case mouth (seating stem backed out)
insert the desired bullet and adjust the seating stem until the bullet is seated at the correct depth for the crimp.
Back the seating stem out a couple turns.
Screw the die body in, until you get the desired amount of crimp. Then lock it down.
Screw the seating stem down until it firmly contacts the bullet, lock it down, and you are good to go.
Load a couple rounds and examine them carefully. They should be just what you want, but if not, they will be very close and final adjustment of either the body or the stem will be small fractions of a turn.
Of course, all this assumes uniform components (bullets and case length).