While the overall issue is not about redistribution in the traditional sense, the battle lines often are.

On the one hand you have capitalist-optimists like Thiel who basically focus on increasing energy output from non-carbon sources (which tends to mean: nuclear). The effect is to maintain the status quo (everyone can keep on using energy without worrying about depleting a public good).

On the other hand you have the left focusing mainly on limiting / reducing carbon emissions. That is - in my opinion - an inherently redistributive project: when you allocate carbon emission allowances, you're effectively allocating production allowances.

Edit: specifically, it's redistributive on a country level: poorer countries would quite like to have a big carbon budget to burn while their economies grow.