the free open-source thing of MOAI is just a (big) added bonus to its capabilities.
It's syntax is similar to corona due the fact they both usa LUA as wrapper, corona has a better number community, tutorials and DOCS are very well spreaded all over the net. Moai just lacks of them if you don't consider the examples on "samples" directory of the SDK and the few examples on their forum. Corona workflow is amazing, i can work with IntelliJ Idea and have both auto-completion on LUA (this works also in MOAI obviously) and Corona itself, plus i can run the output straight on the simulator.exe (time saving!)
Moai is more for advanced people, it's updated on the fly everyday but again, you really should check it and spare some time with it, you won't regret it!