Theoretically, and assuming it doesn't screw up subsequent demosaicing, I think it would be a benefit. The 3 color band PSFs could be optimzed for the CFA filter characteristics. However, the practical question will be how much will the benefit be compared to the current practice of deconvolving the RGB channels with the same PSF.
I did try a similar approach with my astro sensors (working on full frame L R G and B images) with LR and VC deconvolution algorithms. The issue I had was that while the individual images "improved" in resolution, at least in my perception they were harder to combine regardless of whether I used the same PSF (calculated from an unsaturated star in the L frame) or a specific PSF calculated on each frame. I was unable to decide whether the issue was caused by the mysteries of iterations, noise around the star I used for the PSF (which had a very different look in the R and B channel for example) or the fact that even with a good apchromatic triplet R G and B do not focus exactly at the same point or even the fact that somes stars saturated the sensor in one color and not in another....
And indeed, if there is a benefit, will it be worth the trouble? Sharpening is a bit subjective anyway.
