As you can see in the chat, I was by this time very frustrated.

But it's more useful to always be very polite to a chatbot, you'll get better results (google it if you don't believe me).
This is due to a technical issue, not an anthropomorphic issue.

Your responses are entered in the AI's "context window" and help to prompt the AI responses based on its training data.
There are more instances of conversations in training data where problems get quickly resolved that include phrases like "please review this inconsistency ..." than conversations that include phrases like "you're incompetent, this part is inconsistent!"

Also the human-like phrases you see at the start of CoT (chain of thought) conversations, such as with DeepSeek R1, like "Ok, let's take this step by step" are not eye-candy intended to make the AI seem more friendly and doing some thinking. They are manually inserted by the wrapper surrounding the chatbot to get those phrases in the context window. It turns out this prompts more careful "thought" based on its training data than if those words weren't in the context window. So they are manually inserted.