I prefer V1 plastic for my putting putters but the biggest difference between V1 & 2 is feel and firmness which is very subjective to the thrower.  As for the flight of the disc it does show significant stability at the end of the flight. It's pretty straight for C1 putts but as you get closer to the edge of C2 and beyond that stability begins to show. Comes down to your preference and adjusting your putt to the disc. 

The Jackrabbit is essentially a Bluebonnet with a bead. The shape and flight of the Jackrabbit is similar to the Discraft Kratos. I like the Jackrabbit, but it ultimately was replaced in my bag with the Bull Snake, just because I liked the feel of the Bullsnake when it came to putting. As an approach putter though, the Jackrabbit excels. 

This replaced my PA-3 as my putting putter as soon as I felt it. It's what I always wanted my PA-3 to be, soft and beefy.

A bit too deep for me so I don't putt or flick with these unless it's a stout headwind! Amazing for any-upshots or longer BH ups because of the glide

Really enjoy throwing this disc. Working it into the bag. Does a great job of sticking at the end of the flight. Can't wait to see this in a premium plastic. I'm sure  it me and not disc but i get a slight wobble out of the hand that I don't normally see when throwing other disc but the flight is great.

JackRabbit has become my favorite putter in my bag. And it's quickly becoming my favorite disc period. I find myself using it more and more. It's super versatile. I've been putting, approaching, driving, and of course throwing over water with this thing like crazy. I can't stop using it. Feels great, flies  great, the stability is great, and  V1&V2 floats great. (Also has a great lookin stamp). Can't find any complaints. I haven't removed the pig from my bag yet, but I think the day is comin soon. Oh and I got my dad a JackRabbit and he friggin LOVES it too. 
Hopefully Lone Star Discs will release this disc in other plastics too... but I love the JackRabbit!!