I can honestly say that I've left off a job from a resume.. I had one job with an agency that, despite being completely honest about my skillset, placed me in a job as a traveler that I had no idea what I was doing. It was bad. I was harassed by other nurses and even though my preceptor/charge nurses were amazing, I needed a lot more than the 5 days of orientation they originally intended on giving me.
My contract was cancelled early, on a day where I was rushing to work and tripped down my stairs and had to call out. (Though honestly I still tried to drive to work) They terminated me a few hours later so it worked out for them I guess.
Needless to say, I do not list the facility I work for nor the agency I work for on my resume, nor do I include it as a job on my application. It has never come up and I've had multiple jobs since then. Might be a little different since it was a travel job but it was still full time for a month.