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It's not hugely significant but it's still definitely there--in high DR situations(normally, bright sunlight with deep shadows where I'm using ISO 100 anyway) I definitely have seen the difference in the noise pattern while trying to bring up the shadows. It's not major, but it's definitely a reason for me to typically use mechanical shutter on my R5 if I don't need to capture particularly fast action.
I know the R5 kicks down to 12-bit in E-shutter, so I think that would be part of why it changes. If so, I would imagine the R3 at 24mp can pull off 14 bit raw in E-shutter, which I believe would negate any difference.