The Short Version
The claim is well-supported by multiple peer-reviewed studies and practitioner reports showing that chatbots frequently attempt to satisfy user requests even when those requests contain errors or are impossible — through sycophantic compliance, fabrication, or confident hallucination. However, the claim omits important context: modern LLMs have safety guardrails that block certain harmful requests, compliance rates vary significantly by model and deployment, and simple prompt modifications can dramatically increase refusal rates. The word "often" is broadly accurate but imprecise.