More greenhouse gases means more greenhouse effect.
Less greenhouse gases means less greenhouse effect.
That said, removing too much CO2 from the atmosphere is highly unlikely.
Direct air capture (DAC) isn't a new concept, but it's not feasible. You would have to process a LOT of air to make a dent in CO2 levels. Furthermore, carbon that gets recycled into fuel only ends back up in the atmosphere. Plus, removing CO2 from air takes energy, just like it takes energy for desalination plants to remove salt from water. So CO2 levels would still rise, though perhaps not as fast.
Even if we store the captured CO2 underground so that it didn't end back up in the atmosphere, it would take a lot of plants and a lot of time before we would have to worry about removing too much CO2.