There were periods where I was entirely unable to use Claude Code for hour+ due to auth gateway always returning 500 or timing out, there was an "elevated errors" incident shown on status.claude.com, but zero minute of downtime recorded (not even "partial outage"). So the real uptime should be even worse.

The real uptime being worse than reported is basically an iron law of status pages. You happened to hit one outage and I'm sure many others hit separate outages at different times that also weren't counted.

Sure. Difference is there are not many other services with uncounted hour long / multi-hour outages.