We'll just have to agree to disagree (again) on that one I suspect. I'd submit that it's probably almost all been processed by the time we see it anyway.

Once you're digitized I'd rather do everything in discrete math and go back to analog at the last possible moment. The processing to do digital time delays is truly trivial, and that which is required to do other common transforms is well understood. Not to say it can't be done badly (analog or digital) but it's no mystery either.

The only time I could see benefit to analog processing is a fully analog signal chain, which is not practical for almost everyone.