Thanks -- that helps. 

It does raise another question.  If the ball had been caught by F6 in shallow CF, does anything change?  I wanna say that the "first play" by the infielder was catching the ball, so your analysis still applies and it's TOT, not TOP.  Agree or disagree?

Mark_P is correct. Essentially the same play is in the MLBUM.  Not only does it specify the initial and revised awaard, it shows that an appeal is possible.

5.10 AWARD MADE FROM ORIGINAL BASE AFTER CATCH

A runner who is forced to return to a base after a catch must retouch his original base even

though he may have been awarded additional bases on the play. The runner may retouch while

the ball is dead (provided the runner does so before reaching the next base-see Section 5.11), and

the award is then made from his original base. (See Casebook Comments following Official

Baseball Rule 7.05(i).)

Play: Runner on first, one out. Batter flies out to right field for second out. However, runner on

first thought there were two out and is between second and third when the ball is caught. Right

fielder's throw to first s wild and goes into the dugout. Runner is between second and third when

the wild throw is made.

Ruling: Runner is initially awarded home (two bases from his position at the time of the throw).

However, while the ball is dead, the runner must return to and retouch first base. Furthermore,

because the runner was between second and third when the ball went out of play, he must return

to first before reaching and touching third (his next base). If the runner touches third, he may not

return to first; and if the defensive team appeals, the runner is out at first. However, if the runner

properly returns and retouches first before reaching third, the award then becomes third base

(two bases from his original base).

Relaxed action?  The ball is out of play, it's dead.  "Time.  You (pointing toward R1) are awarded home."  That's it.  It's the runner's responsibility to run the bases correctly.  You don't have to wait for him to do it. 

Assuming this is OBR, an appeal needs to be made while the ball is live.  If the runner is returning to prior bases to re-tag, you wouldn't put the ball into play until he's done. 

Regarding the passage from the MLBUM, I thought OBR allowed runners who have reached following bases after the ball enters DBT to re-tag (as opposed to FED).  But if that's what it says, that's what it says. 

The difference in FED and OBR is:

R1 is beyond 2B but not yet at 3B at the time the ball goes dead (NOT when it's thrown - when it goes dead):

FED - runner cannot return to touch 1B

OBR runner can return unless he touches 3B (third base) after the ball goes dead.