You certainly can bump shoulders without sizing case bodies, and it's done with full body support(slight squeeze).
And bushing dies can be used to make ammo as straight as any.
But there is more to attributes of sizing than just runout.
I personally would never FL size necks, and I would never seat bullet bearing all the way down to donut area or neck/shoulder junction. Doing either greatly increases tension variance.
I believe best is to partial length size necks with a bushing 2thou under loaded neck ODs. You can adjust tension by the LENGTH of this grip on bullet bearing, as many bushing dies allow this adjustment.
Keep in mind, interference fit is NOT tension.
Tension is spring back grip against .xxx area of seated bullet bearing. Spring back is also 1thou max. So sizing 2thou under cal will spring back to ~1thou under cal, and seating a bullet in this expands the neck to cal with ~1thou(max) spring back grip.
If you size down to cause interference in excess of this, you are only using your bullet to re-expand right back up to prior described, so grip is as prior described. That excess interference only served to increase bullet seating forces, and with that you increase seating length variances.
Now if you size a length of neck greater than seated bearing, then seating will fail to expand that portion at the bullet bearing-base junction. This is typically donut area, and you've now brought this grip to bear/bind against the bearing-base junction.
This, creating higher seating force and tension, but also higher variances of it.
Perhaps this leads to a mob compelled to frequently anneal necks, which makes me wonder why they were so motivated to FL size necks to begin with.
After all, annealing greatly reduces tension, and anything less than perfect annealing increases tension variance. Lotta tail chasing there..
With a CUSTOM FL die, that sizes minimally, you can make very straight ammo.
With a CUSTOM bushing die, that also sizes minimally, you can make very straight ammo. The key factor here is minimal sizing, and brass that is very low in thickness variance.
There is wide use of the misnomer 'FL Bushing Die'. But as far as I know, there is only one die maker who actually does this, with shoulder included in the bushing. The others related are actually Body-Bushing dies, that partial length size necks. They are not FL Bushing Dies.
You can also separate dies into their specialties, with each custom if desired.
I use custom Redding body dies for shoulder bumping only, and Wilson neck dies for partial length bushing sizing. I don't choose cartridges and/or loads to cause a need for body sizing. This provides many benefits for me(reloading-wise).