May a Recreational Pilot demonstrate her/his own plane to a prospective buyer?
It looks like a recreational pilot can demo their own aircraft, because the FAA considers &quot;salesperson&quot; to be a profession or job in the lay sense that you mentioned.
This is from the Federal Register:

The FAA maintains that, for sales demonstrations that are not
conducted by an aircraft salesperson, a sport pilot or a recreational
pilot can conduct this activity. Therefore, to ensure that
recreational pilots have at least the same privileges as sport pilots,
the FAA is revising § 61.101(d)(12) to allow a recreational pilot to
conduct sales demonstration flights as long as the pilot is not acting
as an aircraft salesperson.

The original wording of 61.101(d)(12) was:

To demonstrate that aircraft in flight to a prospective buyer

The current wording you quoted is:

to demonstrate that aircraft in flight as an aircraft salesperson to a
prospective buyer

In other words, they added &quot;as an aircraft salesperson&quot; to clarify that the restriction only applies to salespeople, not to all recreational pilots.
That means the question you quoted is apparently wrong. As to why it's wrong, I have no idea. The FAA doesn't actually publish its test question banks so many &quot;FAA questions&quot; out there aren't official at all.