Author here. Great points, I agree 2 extra round trips are not strictly necessary.

The advantage of P2C is the simplicity that comes from its stateless/just-in-time nature. If you cache load, either by servers broadcasting or including a load indicator in the response, you have to consider cache invalidation and TTLs. The longer the TTL, the higher the odds of a thundering herd (all clients think one server is under loaded and proceed to overload it). If you're undertaking this complexity, it may be better to go with a proxy, which can have other benefits too (connection pooling, no client cooperation required). Like all such decisions, it depends on the situation.