Sorry for stupid question, but what is the goal of this cleaning ? Does it help to prolong frets life ? Or it just for strings cleaning. Maybe I am lazy but i cannot imagine to wipe my strings every time I am done with playing.
You should wipe the grease and sweat from your hands off whenever you're finished playing (it's also prudent to keep the guitar in a case when not playing to keep dust off of it, but that's a personal thing for most).
A friend of mine, even wiping his strings down, has such acidic sweat his strings turn black in just a few days. If he didn't wipe the strings, he'd be changing strings every day.
Wipe the strings, the fingerboard, the back of the neck, the body... basically... everything you touch.
You don't have to polish it every time, but at least wipe it off. The acid in your sweat, and the oil you leave with the sweat can cause the strings to rust, the frets to tarnish and in some cases, it can cause dulling and premature wear of the finish on the neck/body.
Especially 'satin' finished or un-finished necks, these need to be kept clean unless you like that dirty, worn look.
But even then, it's not good to have sweat and oil soak into the wood, or build up on the finish.
It's even recommended in most guitar instruction manuals.
I'd post a link to an Ibanez manual, but the forum won't allow it.