It's going to be very difficult to compare the two seeing as the Turner Watch was a very rare exclusive piece, that was sold for a short period of time and removed from the market. So, with the low availability of the Turner Watch and the fact that it was never sold on Penguin there's not much I can say about it.
The Infinity Watch has a controller that allows you to cause the clock to run faster than normal. This means that if you can see the clock face you can stop the clock on a predicted time. The controller is small and can be held in the sleeve or pocket. The watch works as a normal watch would.