Rationally, there can be 2 impacts:
- higher ISO degradation in the corners to correct a lens with higher vignetting
- "invented" data: if a lens' image circle does not cover the corners, the software correction stretches the image to cover the corners and those pixels are therefore extrapolated - in other words, the stretched image has been created from less data than an image recorded with a lens that does cover the full sensor
Both of those impacts are likely to be small enough to be practically invisible in most situations, and both are likely to matter less and less with more and more modern NR techniques and AI computational stretching... and with higher and higher resolution sensors (more data to work with

see what I did there?)
Rationally, those two impacts apply to all lenses. What is not rational is the belief some people hold that increased noise from vignetting correction and loss of sharpness from distortion correction apply only or differentially more to lenses that require digital correction.
Vignetting is the easier to understand of the two effects under discussion. The ‘optically’ corrected EF 35/1.4L II has the same amount of vignetting as the RF 35/1.4L VCM. Correcting it in post introduces the same amount of noise.
The situation with distortion is really no different. Any wide angle rectilinear lens requires distortion correction. The wider the AoV, the more correction needed. Digital correction of distortion ‘stretches’ (interpolates) the image data. That stretching is based on mathematical modeling of the lens. If you prefer to be a bit pejorative, the digital correction smears the corners after the image is captured.
Optical correction of distortion also ‘stretches’ the image based on mathematical modeling of the lens, but the correction is performed by designing it into the lens optics. While there is no interpolation needed, optical correction still smears the corners…it just happens before the image is captured. The end result is the same – loss of corner sharpness is similar.
It’s also worth noting that optical correction isn’t perfect, there’s almost always distortion remaining in wide and ultrawide lenses, they’re just corrected
enough to fill the frame. Remember the ‘optically corrected’ EF 17-40/4L?
Emotionally, that's a personal thing and each one of us will have a different view on the matter.
I believe opinions about physical matters should be based on facts. Some of us have the personal view that the earth is flat. It’s not. Digital correction is not inherently worse than optical correction.
Now, if you want to emotionally believe that the best ice cream flavor is something other than mint chocolate chip, you can (but you’d be wrong

).