I tried to put a figure at about 1 meter distance, close to the minimum focus distance of both lenses. Then I timed the focus. The camera had just been turned on, meaning that the lens is at "close to infinity" focus at the start of the experiment. There is a fair amount of light, with daylight coming in through a window.
Here are the results:
And in a table:
Lumix G 45-200mm
Lumix X 45-175mm
In my tests, the newer Lumix X PZ 45-175mm does focus faster than the older Lumix G 45-200mm lens. The older lens was very fast focusing already, so this is a good achievement.