Kudos to the people at Discord. Just a few minutes after I got disconnected they already tweeted about the issue. Some minutes later and they have a message in their desktop app confirming it's an issue with Cloudflare. All while Cloudflare's statuspage says there are 'minor outages'.
As a percentage of total traffic, a 'minor' outage for Cloudflare probably equates to a significant outage for a non-trivial amount of the internet.
It will also be especially noticeable to end-users, because sites using Cloudflare are typically high-traffic sites, and so a 'minor' issue that affects only a handful of sites is still going to be noticed by millions of people.