Run Down Wide Turn

[njdevs00cup]

I had an interesting run down situation between 3B and HP regarding rule:

7.08
Any runner is out when --
(a) (1) He runs more than three feet away from his baseline to avoid being tagged unless his action is to avoid interference with a fielder fielding a batted ball. A runner's baseline is established when the tag attempt occurs and is a straight line from the runner to the base he is attempting to reach safely

Relay throw to to F5 @ 3B, who throws the ball to F2 @ HP. R1 stops ten feet from F2, makes a wide turn more than three feet away from the baseline to change direct (not avoid a tag), runs and slide directly to 3B and beats the throw and tage back into 3B. Defensive team's coach wants R1 out for running out of the baseline. I have nothing. Did I get this correct?