Didn't mean to be snarky and apparently I was a bit cryptic <g>.
I think you are missing the point.
L, not W, is in control and has the choice which side of S to pass on.
L has the choice.
If she ducks behind S, she must also give W room in accordance with rule 19.2.
If she wishes to tack away, she may give a rule 20 hail and W must respond.
Nobody 'calls' for anything except a round of drinks afterwards.
Case 11 is the standard exposition of this situation and it's described in every commentary ever written.
CASE 11
Definition, Obstruction
Rule 14, Avoiding Contact
Rule 19.2(b), Room to Pass an Obstruction: Giving Room at an
Obstruction
Rule 20.1, Room to Tack at an Obstruction: Hailing
Rule 21(a), Exoneration
When boats are overlapped at an obstruction, including an
obstruction that is a right-of-way boat, the outside boat
must give the inside boat room to pass between her and the
obstruction.
Summary of the Facts
PW and PL, close-hauled on port tack and overlapped, approached S on
the windward leg. PL could pass safely astern of S. PW, on a collision
course with S, hailed PL for room to pass astern of S when PW and PL
were about three hull lengths from S. PL ignored the hail and maintained
her course. When PW bore away to avoid S, she and PL had slight beam72
to-beam contact with no damage or injury. PW protested under rule
19.2(b).
The protest committee held that rule 19.2(b) did not apply, stating that PW
could easily have tacked into the open water to windward to keep clear,
and should have done so. PW was disqualified under rule 11 and appealed.
Wind
Decision
S was an obstruction to PW and PL because both PW and PL would need
to change course substantially if they were sailing directly towards S and
were one hull length from her, and because they both were required by
rule 10 to keep clear of her (see the definition Obstruction). Under rule
19.2(a), PL, as the right-of-way boat, was entitled to pass S on either side.
She chose to pass to leeward of S. Therefore, under rule 19.2(b) PW was
entitled to room to pass between PL and the stern of S. PL did not give PW
that room, so PL broke rule 19.2(b). PL was subject to rule 14, but since
she held right of way over PW and there was no damage or injury, she is
exonerated for breaking that rule (see rule 14(b)).
PW could not have known that PL was not going to give sufficient room
until she was committed to pass between S and PL. PW broke rule 11, but
she did so while sailing within the room to which she was entitled by rule
19.2(b). Therefore, as required by rule 21(a), PW is exonerated for
breaking rule 11. Also, when it became clear that PL was not giving room,
it was not reasonably possible for PW to avoid the contact that occurred,
so PW did not break rule 14.
PW was not required to ‘tack into open water to windward to keep clear’
because PL did not hail under rule 20.1 for room to tack and avoid S. Had
PL hailed, PW would have been required by rules 20.2(b) and 20.2(c) to
respond even though rule 20.1(a) prohibited PL from hailing because she
did not have to make any change of course to avoid S.
PW’s appeal is upheld. The decision of the protest committee
disqualifying PW is reversed. PW is reinstated, and PL is disqualified for
breaking rule 19.2(b).