Firstly, BE VERY CAREFUL when you first start to use these saws! the Zubat and Natanoko are both great saws, but they can both equally can cause terrible cuts to your hands and arms.
The Zubat is lighter, and I have found that due to curved design of the blade you tend to apply your force along the middle 70% of the blade rather than 100% of the blade you get with a Natanoko.
I like the feel of the Natanoko, it is weightier than the Zubat and has a nice balanced controllability to it.
When making precision pruning cuts I found the Natanoko to give a cleaner finish than the Zubat.
Also, when you are climbing out on the end of branch doing a hand held section, you want to be able to find your scabbard and slot the blade in easy, to throw the branch with both hands, that is another reason I like the straight blade it will go into the scabbard both ways.
I find the straight blade of the Natanoko allows you to make more accurate felling notches if you ever need to make a small directional notch during technical rigging operations and you are in too unstable a work position to use your chainsaw.
I know climbers who have always used curved blades and find it weird to use a straight blade, but I started using straight bladed handsaws, and have tried to switch to the curved blade a few times. I always go back to the Natanoko.
The Natanoko is also a great saw for removals. Cheaper than the Poseur's Sugoi and more robust.
Whichever saw you use take it nice and slow when you start to use these saws. Maybe think about the smaller Gomtaro saw with a shorter blade until you are confident enough to use a bigger handsaw.
The diminutive Gomtaro (photo)
Also a great saw.