For now I'm putting health on my ignore list because it looks like stuff there is almost always off-topic.
Thoughts on whether it should be completely removed (i.e. burninated)?
As a comment pointed out, there are high-scored, on-topic questions under the tag.
You've rightly identified what posts are off-topic: great! The best way to handle off-topic questions is to cast a close vote. That will help point people to the tour that shows what types of questions are on-topic at Lifehacks.
healthtag aren't related/don't need that tag.