I created the recipe Microidealize 4.0 test ("MI4T") to look at this issue.
On puzzle 1440, MI4T found ideality changes on locked segments, even with its "do locked segments option only" option checked. The gains resulted from wiggling adjacent unlocked segments. The changes were mostly gains, and happened only on the locked segments immediately before or after one of the permanent cutpoints.
It's not clear whether these results are exactly what Skippy is describing, so here's what I did.
In 1440, "show backbone issues" revealed a large number of issues with the starting pose. It appeared that all the issues were in the unlocked sections of the protein, however. Using "ligand specific" coloring, the locked sections appear in gray, and the unlocked sections appear in shades of yellow and red, similar to "score" coloring.
I ran MI4T on the starting pose of 1440 several times with all its new options checked. One nice thing is that the results were repeatable each time, producing exactly the same results. I left "worst first" checked each time, and didn't try to manually correct any backbone issues for these tests.
Using the "do locked segments only" option, along with "include locked in wiggle", and "include unlocked in wiggle", you get gains. With just "do locked segments only" and "include locked in wiggle" checked, there's no gain.
Locked segments can't be selected, either manually (in the selection interface) or in a recipe. So there's no way to idealize or wiggle only the locked segments. MI4T runs very quickly if you leave out the unlocked segments.
As Susume has mentioned, changes to the unlocked part of the protein can affect the subscores of segments in the locked part. The changes to the ideality subscore revealed by MI4T could be just another example. For example, you may see changes to clashing, packing, or hiding in the locked part when you move nearby unlocked segments.
With ideality, it's not clear what's actually changing. The sidechains on the locked section are all locked too. (This is not necessarily true on all puzzles with locked segments.) So it's not the phi and psi angles (our new friends from the Rama map) becoming more ideal. There's also the omega angle, the angle of the peptide bonds between segments. Maybe the omega angle can become better despite the presence of the permanent cutpoints.