What the buyer's inspection will do when you sell a house with a wood stove
Report what is visible: the condition of the stack from the ground or the roof, obvious damage in the firebox, whether the damper operates, and whether an appliance appears to be installed. What it will not do is camera-scan the flue, examine concealed runs in the attic or basement, or establish which flue serves what. Where there is a working solid-fuel appliance the inspector will ordinarily recommend a specialist inspection, and that recommendation arrives in the middle of a transaction.
The findings that delay a sale
A failed or missing liner. Damage from a previous chimney fire that was never disclosed or inspected. A stack needing rebuilding. An appliance connected to a flue that cannot correctly serve it: very often an owner-installed stove on an unlined chimney. These are significant numbers, they are all invisible without a camera, and discovering them under a contingency deadline is the worst possible time.
Why inspecting before listing helps you
You get the information while you still control the timetable. If there is nothing to find, you have a dated report to hand a buyer, which removes an unknown from the negotiation. If there is something, you can decide whether to fix it, price it in, or disclose it. Three options you do not have once a buyer's inspector has found it and the clock is running. The report costs a fraction of what a mid-transaction negotiation over an unknown commonly does.
Disclosure and honesty
If there has been a chimney fire, say so. A specific question buyers and their inspectors ask, the physical evidence frequently survives, and a fire that was correctly inspected afterwards and documented is a far better story than one discovered by a camera during a transaction. The same applies to an appliance installed without a permit where one was required: disclosed and documented is manageable; discovered is not.