If you register a domain with Cloudflare or Route 53, and that service goes down, do your records stay active in the DNS servers? What if the DNS servers go down, I know a lot of people use 8.8.8.8, so if Google’s server goes down, then DNS fails?
What are the potential point of failures for having your own domain?
Forgot to answer this. My advice would be to pick a good DNS provider.
It doesn’t have to be the company which registered your domain. A good provider will generally have more than authoritative DNS servers, will generally have them in separate top-level domains (e.g., .com, .net, .uk, etc.), and may even be running Anycast, which makes them even more resilient.