I use the very same lens.The images in the below is captured on that lens attached to a Sony A7C. They are stills taken from youtube film THLR LRB 364.
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The "performance roof" I most often bump into with the 24-105 is the wideangle, I find myself wanting to capture "more" in the frame so would like to have 16-20mm lower end but would not have less than 50-70 upper end and not slower than f4 constant.
This is probably 50-70mm
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This is same frame on 24mm
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This image is from a Sony APS-C 11mm f.18 and the quality just isn't there, so would like to see this done on a better lens/ fullframe
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This is 24 and it just doesn't give the same sense of space as the above.
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I am currently looking at a wideangle f2.8 (or better) and a 70-200 f2.8 to compliment my setup.