This would probably work as well. But, lithium hydroxide is much more expensive than sodium hydroxide. and since sodium is more reactive than lithium, i would imagine that it would be more reactive towards the co2. if this is true, than you might consider trying potassium hydroxide becuase it is morre reactive than sodium hydroxide but it is slightly more expensive. And if you are somehow able to get ahold of caesium hydroxide, that would probably work the best but even if you mannage to find someone who is willing to sell it to you, it will be rediculously expensive.
Get someone to confirm that naoh would work better than lioh. Im 90% sure but not positive
Alternitavely, if you have a ph meter you could test a .1M solution of each. To do this you would need to but an equal ammount of vinigar in 3 flasks. each flask would need to have a 1 holed stopper with a peice of glass tubing on top. The tubing would need to be bent at a sharp angle so it could be submersed in a beaker. Put .1M solutions of lioh, naoh and caoh in 3 different beakers make sure the volume in each beaker is the same. Then, add an equal ammount of baking soda to each of the 3 flasks and put the 1 holled stopper on. each in each beaker, put the other end of the glass tubing in the base solution. the baking soda and vinigar reaction releases CO2 which travels through the glass tubing and into the base solution where it changes the hydroxide to a carbonate. Let the reactions run untill no more CO2 is produced and then take the pH of each solution. which ever one has a lower pH absorbed the most CO2 and therefore is the best CO2 scrubber. In order to get good ph reading though, you will need an electronic pH meter.