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Not a bad shout. Doesn't sound like it's super waterproof but I wouldn't be submerging it. No idea how its image quality would stack up against the G7X but then I've been using a phone for fscking ages now so either would probably be an improvement.
I'd want it to be smaller than my G3 was. Missus has an old Ixus that's a decent size. Small size is why the Ricoh interested me.
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I have an old sony waterproof camera that comes on holidays as a snorkeling camera, and a go pro thats useful for diving.
The non extending small profile lens that is required for the form factor of a pocket waterproof camera, + the sensor size means it probably won't be much better than your phone. The newer generations might be much better than my previous experience though, and the Canon D30 seems to have kept the megapixels down, which is a normally a good sign in a camera like this.
The Ricoh GR III looks like a great camera, and I'd probably get one, if I didn't have a Panasonic GM1 with 28mm equivalent lens already.
https://www.canon.co.uk/for_home/product_finder/cameras/digital_camera/powershot/powershot_d30/
Not likely to be very good image quality, but might survive your back sweat.
G7x or Sony RX100 will be good, though a step below micro 43 or APS-c.
What is your tolerance for size and weight?