In which way superior? The file transfer to/from Android uses the native OS interface ( Linux, Windows, etc ) and users are accustomed to this, no need to learn a second interface a la iTunes.
While a Chrome extension is not such a bad idea, is rather unnecessary.
I find iTunes to be very useful. One place to manage all of the content on my device, back it up, and restore it (if necessary). Android file transfer is buggy and exposes too much to the user. While it is cool to look inside of DCIM or wdh_update, it isn't helpful or even understood.
While a Chrome extension is not such a bad idea, is rather unnecessary.