Dias. 2-12-6 to 2-12-8 show a third possibility: the four black stones
are removed unconditionally at the end of the game, then Black is
allowed to play again. The result after Dias. 2-12-3 and 2-12-7 may
vary when White can fight the ko, but if we assume that White and Black
connect at 4 and 5 as shown in Dia. 2-12-8, then White's profit is three
points.
Dia. 2-12-3
Dia. 2-12-6
Dia. 2-12-7
Dia. 2-12-8
These diagrams show that it is to White's disadvantage to play first
as in Dia. 2-12-4, and to Black's disadvantage to play first as in
Dia. 2-12-2. If neither Black nor White plays first, at the end of the
game they may decide to settle for Dias. 2-12-6 to 2-12-8. At least
that justifies the name of the position, "three points without
capturing." Other explanations for these three points can of course
be given.