I'm not pushing anything, just haven't seen pass-through proxy that has a similar failure mechanism for when websites are down. They have enough of a market share without me promoting them anyway.
That's a feature of basically any CDN and some existed well before Cloudflare entered the market.
Nowadays you find dozen of CDNs. A personal site may be fine without it. If your plan is having an offline version ready to be served, as you expect a lot of downtime, distributed cache might not be the best architecture. Some CDN offer a dedicated layer of cache in front of your origin, but that sounds overkill for a personal blog.