If all you need to do is record a handful of audio streams, I can't say there is a big advantage to doing that in Logic. Garageband is very capable of handling that kind of project and even includes powerful tools like flex editing to fix imperfections in your audio recording.
For many years, I used Garageband for that purpose and I was very happy with what the free program was capable of.
Last year, I decided to switch to Logic because I wanted to explore writing music using the incredible variety of effects, software instruments and sound generators available in Logic. For better or worse, Logic opens up a huge new universe of possibliities. It's pretty much limitless.
I'm really enjoying it, but there are some downsides to consider. For a hobbyist like me, I used to be able to write and record a song in a matter of weeks. I'd write it, practice my guitar parts and then record it. Done. Now, with all the options available in Logic, I spend months playing with different sounds and effects before I'm satisfied. I can go weeks not even touching my guitar—instead spending my evenings just clicking my mouse searching for the right instrument sounds, editing software notes in the piano role editor or turning software dials to explore different delay styles.
So that's how Logic has changed my music creation process. It's the direction I wanted to go in so I'm extremely happy with what Logic can do. It's incredible what you get for the price.
All that said, if your recording requirements don't go beyond capturing audio streams, Garageband provides a great, streamlined interface to do that.