People who use Redis rarely end up using it solely as a caching layer. It often also takes on the role of an RPC facilitator and pseudo-database. GitHub's post also mentions that their engineering team had to replicate Redis' dataset before they could get the alternative hardware running, which implies that they do need some data in there before the site is operational.
Personally one of my pet peeves is people throwing mission-critical data in Redis and acting like it's honky-dory. It happens all the time and seems really difficult to get people to not do. There's a reason we have a real ACID compliant database storing non-disposable data; it's ridiculous to ignore that just because it's easier to stuff it in Redis.
I think it's reasonable to have a dependency on a Redis server, but I don't think it's reasonable to depend on any data in particular being stored in that server. It should be used as a caching/acceleration layer for data that can be easily and automatically regenerated.
I have no fundamental opposition to K-V stores or NoSQL databases, but I do think most developers favor them because it's easier to stuff them with data up front. There are big tradeoffs down the road, though, which companies don't seem to understand well, and which they aren't really equipped to handle.
A lot of people have started depending on github for more than just stashing source code some place centrally accessible as they're working on it. If github takes a lax attitude toward uptime then I suspect people will start looking for alternatives.
So, a very small risk of an hour or so of downtime sometime in the future which will not cause data loss, or tens of thousands of dollars a month for a failover cluster? I wouldn't replicate it either.