Personally I have not used a G15 or G16 but have played with the Olympus ruggedized ones.
In that price range I suggest you look at and consider the Lumix LX7. Compared to the Canon, it has a similar sized sensor but is somewhat smaller, a little lighter, but most importantly has an excellent lens, f/1.4 at wide angle to f/2.3 at 3x “telephoto”. Mine works so good I use it for aurora with great results. Video quality is also very good. I have taken thousands of photos with mine over the past few years.
The only downsides I can think of are that the LX7 is not weather resistant, cannot be charged via USB like the Olympus, and is not good for time lapse.