I assert that adding a claim such as 'most of the information in the function is removed in way that allows the math to still work' is an objective scientific mistake that is not merely aesthetic. I think you disagree with me there.

My positivist personality disagrees, my Platonic personality agrees with you.

I would even go as far as saying that the ad-hoc state-reduction performed at seemingly arbitrary points is clearly a technical (not just philosophical) defect of the classical view.

On the other hand, the incompleteness of the MW description (not accounting for Born probabilities) is an even more serious practical issue (for the time being): it does not allow us to make any quantitative predictions. If we inject the Born "fairies", back to the theory then we will arrive at the same problem as the classical formalism.

So I'd agree to some extent with the OP, that the most probable future resolution of the problem will be some brand new even more elegant math which will be more satisfactory than any of the above two options.