You are not wrong that this is puzzling, especially when viewed through the perspective lens of a professional with background in these areas (10 years).
There are many red flags which beg questions.
That said, I stopped taking them at their word years ago, this isn't the first time they've had dubious announcements following entirely preventable failures. In my mind, they really don't have any professional credibility.
People in the business of System Administration would follow basic standard practices that eliminate most of these risks.
The linked post isn't a valid post-mortem, if it were it would contain unambiguous details of the timetables and specifics, both of the failure domains and resolutions.
As you say, a network connector could mean any number of things. Its ambiguous, and ambiguity in technical material is used to hide or mislead most times which is why professionals detailing a post mortem would remove any possible ambiguity they could.
It is common professional practice to have a recovery playbook, and a plan for disaster recovery for business continuity which is tested at least every 6 months, usually quarterly. This is true of both charities and business.
Based on their post, they don't have one and they don't follow this well known industry practice. You really cannot call yourself a System Administrator if you don't follow the basics of the profession.
TPOSNA covers these basics for those not in the profession, its roughly two decades old now, it is well established, and ignorance of the practices isn't a valid excuse.
Professional budgets also always have a fund for emergencies based on these BC/DR plans. Additionally, using resilient design is common practice; single points of failures are not excusable in production failure domains especially when zero-downtime must be achieved.
Automated Deployment is a standard practice as well factoring into RTO and capacity planning improvements. Cattle not Pets.
Also, you don't ever wait on a vendor to take action. You make changes, and revert when the issue gets resolved.
First thing I would have done is set the domain DNS TTL to 5 minutes upon alerted failures (as a precaution), and then if needed point the DNS to a viable alternative server (either deployed temporarily or running in parallel).
Failures inevitably happen which is why you risk manage this using a topology with load balancers/servers set up in HA groups, eliminating any single provider as a single point of failure.
This is so basic that any junior admin knows these things.
Outlandish workarounds only happen when you do not have a plan and you are dredging the bottom of the barrel.