What's the good and the bad for each rooting method? Is 1 faster than the other?

I think the paper towel might be faster... I have had trouble with the water ones when transferring them to soil... I might have done it too soon when doing it on my own. I donated a bunch to a science glass and they rooted them in water with a grow light and as far as I know about 20 out of 25 have been doing great when transferred to soil.
Here is that thread
http://figs4funforum.websitetoolbox.com/post/help-with-classroom-project-now-w-photos-6620465

I have read that when starting cuttings in water, it creates different types of roots that will have trouble adjusting to soil later on. I am sure one of the fig pros can write more about this. I personally would not use water to root fig cuttings.

Water: slow, no mold issues
Paper towel: fast,possible mold issues, root damage from towel

Ohhh I forgot about using sphagnum moss....
How's that compared to these other 2

I have not had any issues going from water grown figs to dirt. Let me also say i been rooting only tip cuttings in water.

I prefer the moss...or almost straight perlite... look up Jon bag method..

I am using water, spaghnum and paper towel rooting methods. It is true water can take a while, but it depends on various factors, ie variety, quality of cuttings, and when the cutting was taken and what season you are in. Paper towel I think I am not too enthusiastic about even though it seems quite popular. I used a fungicide on cuttings and I still see mold issues in paper towel in baggie. As for spaghnum moss, I am having some success and will continue to root that way as well as with water. As for water, I use a bubbling system and aeration stone, I notice that the roots that this system produces can be quite vigorous and complex. I add nutrients and rapid start root enhancer to the water. Even so, the process can take a while, maybe a couple of weeks longer than other methods. I have lost a few cuttings after healthy roots grew and I transplanted into rooting medium. It may have been too moist so I am still working out the "stage 2" kinks.

Raf-

What exactly do you add to the water?

I add cornucopia plus for nutrients, rapid start for roots, and a teaspoon of peroxide for disinfection.

And change the water once a week

I'd love to see some pictures of that.

Here you go, Gloria. There are really only two cuttings in this pic and they are still in early stages, the third is an experiment trying to resurrect a dead cutting. Lesson learned: if you lose a rooted cutting in stage 2, you will not revive it by taking a step backward in the process. The little cutting leafing out is Paradiso, courtesy of Pete. You can see little root initials forming on it below.