Brunswick seems to indicate the Time Zone is a medium-dry to medium-oily lanes ball. All reviews seems to indicate it is a medium-dry to medium lane ball. This makes me believe that most people will have to modify the cover, making it more aggressive, if they wish to make it handle medium to medium-hevay oil patterns.
It may seem weak compared to your Deuce, because the Deuce is designed, out of the box, to handle medium-heavy to heavier oil patterns and its core is much stronger, and it cover is 1000 grit matte. I'd say with standard drillings like your TZ, the Deuce is one to two degree stronger in hook and oil handling capabilities. To bring the TZ closer, sand it to 1000 grit dull and then compare the balls. Its base cover is a high gloss polish; as always, that makes a bigger difference than any drilling!
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"Just because you can do something does not mean you should do it."