Retired Runner Advances

QUESTION
R1 on third, R2 on second, R3 on first. There is less than two outs. B1 hits a ground ball to F5 who steps on third (R2 is out). F5 throws the ball home wildly. R3 rounds second base and continues to third. R2 (already out) continues to run the bases and heads to home. F3 retrieves the wild throw and in turn throw home to make a play on R2 (already out). Play end with time being called.

Rule 8 Sec 18 H notes 2:

H. Being put out is prevented by an illegal act by anyone connected with the team.
NOTE 1: If, in the judgment of the Umpire, a runner interferes in any way and
prevents a double play anywhere, two shall be declared out (the runner who
interferes and the runner closest to home).
NOTE 2: If a retired runner interferes and, in the judgment of the Umpire, another
runner could have been put out, the Umpire shall declare the runner closest to home
out.
NOTE 3: If the batter-runner interferes, the Umpire shall call the batter-runner and the
runner who has advanced the nearest to home base out.

R2 was initial out at third.
R1 would score and run counts
R3 would be out under rule 8-18-H N2

Do you Agree?



RESPONSE
Agree
R2 is out at 3rd base. R1 scores run counts. R3 is out as a result of interference by retired R2 (8.18.H.NOTE 2)