I think if you watch the majority of (Right handed) power players drift to the left on the approach regardless of line played.

They like to drift left, open the shoulder, clear the hips, and throw right. It makes it difficult for them to play down the twig where you can not send it right but most of the time it fits their game. It is, as stated, an advantage if you need to really get deep to find some head oil.

I walk towards my target but because of the ball return it is difficult to play deeper than 4th arrow on the right hand lane. Bowlers that drift can get into 6th arrow or deeper.

The biggest key is to do the same thing every time. If you drift left 10 boards then always drift left 10 boards, not 7 or 12.