I worked for a major (medical) company that would skip .0 releases, precisely to combat stigma and folks skipping it.
We did have one particularly bad release that we ended up telling folks to delay taking.
IMO, the real secret to most critical upgrades, and at the heart of skipping .0 releases, is to test in non-production, talk with super users and peers, and patch intentionally and quickly. If you have the resources.