And the "customer service voice" you see is one that is intentionally programmed in by the vendors via baseline rules. They can be programmed differently--or overridden by appropriate prompts--to have a very different tone.
LLMs trained on trillions of human-generated text fragments available from the internet have shown that the TT is simply not an adequate test for identifying whether a machine is "thinking"--which was Turing's original intent in his 1950 paper "Computing Machinery and Intelligence" in which he introduced the test (which he called "the imitation game").