Have they? I'm not sure about West Ham, but Burnley barely qualified in the first place and then just continued being fairly comfortable until they dropped down several years later.
As far as I know Leicester have been trying to balance the books for the last couple of seasons and in the absence...
Last time I was in the North Stand some old bat sat behind me told a bunch of us to sit down because she couldn't see.
Now, it then became apparent that this was more for the benefit of some poor sod in a wheelchair, and I felt bad about it. But there are definitely large parts of that stand...