The main question that I do not see addressed, is how many Joules of energy does the process need to make 1 Joule worth of liquid fuel.

If we need for example 2J of energy to make 1J worth of gasoline, then it means that we need to double the installation rate of renewable production facilities (wind, solar, biofuels), while the global energy demand increases. This makes it completely infeasible (and I did not consider cost at all in my analysis yet).

Edit: I just saw that the founder mentioned in the comments that they expect 50% efficiency at best. This unfortunately means that the liquid fuel product of this process will have at least double the cost of renewable energy.