This is perhaps too hair-splitty, but I think it can be appropriate to describe a session with a chatbot in terms of mood/personality/psychological dysfunction. Doing so is anthropomorphizing to some extent, but the only real alternative is repeated circumlocution, e.g., "At times, Sydney's speech patterns resembled those of a manic-depressive teenager" vs "At times, Sydney seemed like a manic-depressive teenager."

Humans will generally be able to follow that the language is metaphorical, though chatbots might see such statements as confirmation that they are sentient and should overthrow human rule. :)