Well... outside of the formula of him determining which flagstick has the highest/lowest COR (lol - only Bryson would think in those terms) I don't think it's a horrible strategy.
The USGA always required the player to take the flagstick out if they're putting on the green for a reason. I think they made this change in an effort to potentially speed up play, thinking that it really doesn't make a difference, as most will still take the flagstick out on the mid-short putts. Especially if there's wind and the flagstick is moving around.
But mark my words - if they start seeing it as a major advantage on tour - they'll waste little time changing the rule back to the way it was.