Ah! I wish I had come back to this thread sooner. A picture would have been great! You're talking about flipped segments in sheets? (cis bonds) I've thought a lot about these.

I'm surprised you're having trouble with this…they occur with very low probability and disappear in the very next rebuild. They're very hard to make on purpose. I've literally spent days trying to hand-flip glycines with rebuild in Snow Flea. My Glycine Flipper script is a complete failure. I vote no to eliminating flips from rebuild completely.
Tweak absolutely does not affect cis bonds in any way, only rebuild. And, that twist doesn't just vanish, it has to go somewhere. It might move to a u-turn, or it might turn into a twist along the sheet, ruining it.
These flips do happen in nature and usually for a good reason. The picture above is from a CASP refinement, so presumably is close to the native. Why would we want a flip? If it's in a sheet, it's probably part of a beta bulge.
A beta bulge forces the sheet to bend (not in the thin bendy direction, but in the thick direction). We've seen these a lot in puzzles where the sheet has to wrap around something, but not like in a barrel. If you have a proline in the middle of a sheets, it's probably there for this express purpose (prolines are 3x as likely to have a flip).
You have a nice functional protein, but then there's a mutation and you have an extra segment. If you just have a flat sheet, everything after the insertion is now upside down, with your 'phobes and 'phillics swapped. Better to just include an extra twist.
A flip might be the best way to bury a big 'phobe or unbury a big 'phillic.
Certain xxx-pro beta hairpins (a tight turn connecting to sheets) ALWAYS have a flip. Without it, a sheet would be upside-down!
More on rebuilding in structure mode: I say it doesn't work because it just SITS there. I don't get any rebuilds at all. I either have to use the scissors tool and rebuild it while free floating, or I have to rebuild it as loop at least once, then set it back to sheet and rebuild the (bent) sheet. It's very frustrating to have 100% of rebuilds rejected in structure mode.
As an aside, banding also makes the rejection rate go WAY up…and the only way to get a cis bond with rebuild on purpose is…banding.
I can't preview this post so I hope it all turns out.