The other two examples are true. Across the Atlantic polygraphs are regarded as a comedy technology and breathalyser tests are sufficient grounds only for arrest and an actual blood test.
I'm pretty sure most all jurisdictions allow you to request a blood test in lieu of a breathalyser. I assumed it was common knowledge polygraphs were junk, but at least Wikipedia says they're in common use in the U.S. but are considered controversial. I knew polygraphs were banned as a prerequisite for jobs in many areas and that many government jobs had them as part of the interview, but figured it was more of a stress test or hazing. I do think the bar for expert testimony and scientific evidence could use a lot of improvement in the U.S.