serice,
The most important thing in a flatter pattern is to duplicate your shots. Find some sort of line that works to get your ball to the pocket, and leave makeable spares. Accuracy - with targeting, speed, and release, are critical. Mistakes tend to be very costly.
If you're bowling on a THS and miss 2 boards right, you will probably get the ball back to the pocket, but will probably leave a 10. On a flatter shot, you'll be very fortunate to leave a rail, if not a washout...
If you pull the ball a couple of boards on a THS, it might not be pretty, but you'll probably have hold to the headpin. On a flatter shot, you'll be lucky to leave a 4 or a 4-9.
I tend to favor a milder ball on these kinds of conditions - something that rolls true. Not too shiny, not too dull. I don't want an asymmetrical core to take over from what my hand puts on the ball - too unpredictable.
My 2 cents.
A friend of mine was 3rd high in the nation for women's sport average with a 197. Spares were the basis of her game.