I also have a high(er)-traffic frontend on a CDN which is used by their customers. User writes there are purchases/payments handled by third(fourth?)-party SaaS.
My current employers still haven’t learned this lesson and think caching fixes everything.
In a read-mostly environment you can often more easily afford to update the state all at once. It’s clear what the effects are because they happen sequentially. The cost of an update isn’t fanned out and obscured across the codebase, where or your team can delude yourself of the true system cost of a suspect feature.
As for shared mutable state, yes, that's true, but what are the alternatives? Whether it's memcached or Redis or an in-process cache (like Erlang/Elixir have), the tradeoffs seem mostly the same.
Caches are addictive. The first one is 'free' (easy) and people start wanting to use that solution for all their problems, especially social problems (we can't convince team A to get their average response time to match our SLA, so we'll just cache them to 'fix' it)
They defer thinking about architectural problems until later, when they are so opaque that "nobody could blame you" for having trouble sorting them out. But I do. Blame them, that is.