RE: os engines
As has been pointed out, the LA is a bushing engine while the AX uses ball bearings on the crankshaft. The AX is also ported much differently and develops more power. The LA is smaller and a little lighter with an air bleed type carb while the AX has a much larger, standard type carb. There are no tuning differences between the two other than the low-end needle being opposite between the engines. Basically the LA is an economical, entry level engine that will work great for most trainers and a lot of lighter sport planes while the AX is more of a premium, higher performance engine. I own/owned both and been happy with them.
In my personal opinion though, if you think you are serious about the hobby and don't mind paying a little extra, go with the AX. Both engines are great but you'll find that there will more applications for the more powerful AX as you move on into different airplanes. If you are trying to stick to a budget though, the LA will work fine and you can also use it certain planes down the road.