Indeed the CK solo pool is not actually a pool.
A mining pool is referred to a server where miners
share the same work and get paid for their contribution. In CK pool (regardless of the name) the work is not shared, so it can't be called a mining pool. In a mining pool, all miners are working on the same exact block with the same exact coinbase.
In CK pool each miner is doing its own work on its own block with their own unique coinbase. CK pool is just providing a node and "header production" service!