Practice — Reasoning Models and Inference-Time Scaling (5 questions)

A teammate demos a support-escalation classifier: given a ticket, it outputs a reasoning field (a paragraph of "step by step" analysis) followed by an escalate: true/false field. They call it "our reasoning model." The underlying API is a standard (non-thinking) chat model with a system prompt that says "think step by step in the reasoning field before deciding."

1. Is this actually a reasoning model in the sense this subject uses the term? Justify your answer mechanically, not just semantically.
2. Name one concrete behavioral difference you would expect to see if this same task were run on a true reasoning model (e.g. extended thinking or an o-series-style model) instead.
3. Give one condition under which switching to a true reasoning model for this specific task would not be worth the extra cost, using this subject's decision framework.