May a Recreational Pilot demonstrate her/his own plane to a prospective buyer? FAR 61.101(e)(12) states a recreational pilot may not

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

(Please note use of the world salesperson.)
AOPA's website publishes a question, presumably taken from the FAA knowledge test bank, which reads


Under what conditions, if any, may a recreational pilot demonstrate an aircraft in flight to a prospective buyer? 
A) The buyer pays all the operating expenses.
B) The flight is not outside the United States.
C) None


According to AOPA (and other sites which publish the identical question), the answer is C) None.
So we can conclude the FAA knowledge test is saying that a Recreational Pilot may never demonstrate an airplane to a prospective buyer, no matter who is the plane's owner.
Is a Recreational Pilot de facto considered a salesperson when wishing to sell his/her plane? A lay definition of salesperson is someone whose job is to sell something. Certainly a private, non-dealer owner could not be considered to be &quot;someone whose job...&quot;.
But perhaps the FAA has defined salesperson more broadly, or the test bank question could be erroneous (it wouldn't be the first time an official answer is subtly wrong).
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.