It depends on where you are
Oats are naturally gluten-free and FDA does not classify them as a gluten grain. The problem is the supply chain: oats are commonly grown in rotation with wheat and processed on shared equipment. Uncertified oats are one of the most reliable ways to get glutened while reading labels correctly.
The answer changes by country. CiCi applies the rules for wherever you are, and will tell you when a product that is fine at home would not qualify where you are travelling.
oat groats is one of the names CiCi tracks for Oats. Ingredient lists use many names for the same thing, which is a large part of why gluten slips past careful readers.
Every one of these is the same ingredient. The number of names is a large part of why gluten slips past people who read every label.
Point CiCi at the barcode on the product you're holding and get this same reasoning in about two seconds, plus the carbs and the full nutrition panel. 360,000+ packaged foods are already read and waiting.
This answer comes from CiCi's ingredient lexicon — the same rules the scanner uses, not a separate article. Where reputable sources disagree, CiCi takes the conservative position and says so.