That would be unpractical. You already cannot copyright the ideas (the research). You can patent it, but the issue addressed here is specifically copyright.
The thing is, for the last hundred years or so, publications have been the communication channel about research, so the two are often conflated (for the most part) - most importantly in science evaluation, which is where the money comes from, so research without publishing is not incentivized at all.
The thing is, for the last hundred years or so, publications have been the communication channel about research, so the two are often conflated (for the most part) - most importantly in science evaluation, which is where the money comes from, so research without publishing is not incentivized at all.