Hi. Thanks for that.
As Mark says, the the problem is essentially that the maximum aperture of your SX710 is F3.2, while the G7X allows you to shoot at F1.8. If you stop down close to the minimum sensor of the SX710 to F2.8 or even F4.0, things improve somewhat.
Also, one of the reasons many of us want the G7X and these larger sensor cameras is that they inherently enable us to get shallower depth of field. The SX710 sensor is about a quarter the area of that of the G7X. The sensor size of the G7X is 13.2mm x 8.8mm. The SX710 is 6.17 x 4.55 mm.
The advantage of smaller sensor cameras is sharpness from your belly button to infinity. The disadvantage is sharpness from your belly button to infinity.
It's true that the G7X at widest aperture and widest angle is somewhat soft at the edges. Some of this is down to physics. Some is down to the cost/benefit ratio of making the prime glass that would not be.
The disadvantages of that need to be weighed against the ability to shoot in low light and get the shallow depth of field. For me it's an extra option. Even the full frame F1.4 primes (except the most expensive) have their compromises at the edges.
If you compare it with the optics of the RX100 Mk3, it is very similar in terms of edge softness on wide aperture and at widest angle. (Scroll down to "Corner Sharpness"). It's a physical and commercial compromise.
Sony RX100 III Review - Optics - Imaging Resource
The good news is that the Canon lens retains more of its brightness (you can stay wider open) through more of its zoom range, so - as you saw - shooting on slightly more telephoto is a good compromise.)
But your images do exacerbate the situation by the different distances from the lens. Particular the book shots, where the books at the edges are more recessed than those in the middle. To compensate for the different distances, the books at the edge should theoretically be jutting forward, not back.
Note that here the distance on the blue lines is greater than that on the red line. It's a common problem when shooting, say, flat art work.
View attachment 5675200
On the images I include here I actually focused on the frame edge, not the centre, which shows the difference the distance from lens can make.
Focus at bottom left corner
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