Metal doesn't care which way you bend it, except you have to look at the overall structure. Lets say you pull the drops appart, you might tear a bridge free if you went nuts on it. Might be wise to clamp something there to isolate the loads. So now you are pushing it together, you could punch a bridge through very light tube or dent it, or crumple the bridge. So maybe now you should block it up with some wood to spread the load. Yuo will need to tweak the drops differently. Just comon sense stuff.
Also a bike that was just a few mm wide would pretty much be handled by the skewers. A bike that was narrow would be a little more of a frustration for wheel changes and such, so you would probably want to tweek it.
Your question sorta left me wondering at first what you wanted to do, since cold setting refers to any cold bending of the frame, and as this is a Framebuilding forum, generally, it has to do with the stuff that goes into getting a new frame aligned. Just a heads up.