I don't know that I can come up with the best example, but let's say a 1800's period piece that tries to weave in some LGBT themes, racial equity, etc. There's ways to do that well, but it's easy to push it hard enough that it's going to make it hard to believe. Hard to believe some of the depicted events would have happened in that timeframe, in that manner, etc. Badly researched, written or performed, it would be hard to stay immersed in a story that's highly improbable.