> In what way does their lack of traffic resilience demonstrate a counter to their position?

When 99.999% of sites utilize Cloudflare for "traffic resilience", as a caching facade that even happens to be geolocated to clients for even more benefit, falling over on exactly that issue kind of obliterates the sales pitch. Every single reasonable person on the planet sees that.

It looks farcically silly, regardless of whatever points it makes or however much I agree with them (yes, CF centralization is bad, it's a company with a mixed history and a lot of bad, it basically has a monopoly now, etc). And yes, there are other CDNs and load balancers and solutions. But presumably someone pushing a position on this has the problem solved beforehand, no?

As to your poor analogy, it's more akin to saying that you hate trucks while trying to drag a couch seven miles from the store.