Just to address the "also just compensates for current emissions" point--the way this tends to be thought of in the research is that, if you assume a completed Step 1 of "develop perfect carbon capture technology", Step 2 is "apply that solution to power plant smokestacks and fuel those power plants by burning and replanting trees / crop waste (corn stalks etc)". So you're not carbon negative on the capture process itself, but can be on the broader system by converting to a fuel source that regenerates through carbon capturing via photosynthesis.

This poses it's own problems though, one of which being the enormous amount of land you would need to dedicate to this process to have a meaningful impact.

The problem here is that uranium extraction and other elements of nuclear power production (e.g. concrete manufacturing) is itself carbon intensive process and takes a while to pay off.