Well they get some KOH loss, true, but that's why it's called industrial process
development, those kinds of things can often be solved.
> "When air was bubbled through potassium hydroxide dissolved in ethylene glycol and the CO2-loaded solution subsequently hydrogenated in the presence of H2 and a metal catalyst, complete conversion to methanol was observed at 140 °C. Moreover, regeneration of the hydroxide base occurred at mild temperatures of 100-140 °C. Notably, a fraction of the base was deactivated in an unwanted side reaction. Currently, the researchers are aiming to minimize the side reactions to efficiently recycle the potassium hydroxide."
Having to use large volumes of ethylene glycol might be an issue, however. There's a whole literature on this particular reaction, for example, as of 2019:
https://www.frontiersin.org/articles/10.3389/fenrg.2019.0008...
> "The methanol production from direct CO2 (using pure sources of CO2 and H2) has several advantages over the conventional process—it results in significantly less byproducts, and requires less energy in product purification (Marlin et al., 2018). However, the methanol production cost via direct CO2 hydrogenation is 2–2.5 times higher than the cost of conventional process (Atsonics et al., 2015)."