The Anode can fly quite a bit differently in the different plastics and based on the dome. I have a bunch as they are my putter and here's what I have found...Flat Anodes of all plastics are less stable and fly straight/hold any angles with little resistance. They are faster, fade less, and drop a little less during the first 2/3 of the flight and more during the last 1/3. Domey Anodes behave more like Ions, show a resistance to turning when thrown with slight angles and fading more. These differences translate roughly the same across plastics. Now here's what I've seen as far as differences between the plastics:
Regular proton/eclipse (these should fly mostly the same-differences are based on the dome)--These are the straightest Anodes as they seem to hold any line and the fade is almost non-existent. For me these tended to push through hyzer on drives. They also have the fastest drop rate and glide the least imo. Flat versions of these are the least stable Anodes...I've thrown light flat eclipse protons that even have a touch of high speed turn out of the box under 300'. Putting-wise these are pitch/lob style putters as they seem to resist spin compared with the Neutrons and especially the softs (this could have a little to do with grip). These are the slickest of the Anodes as well (though for a reason I can't even come close to figuring out my Eclipse seem a touch tackier).
Soft proton/eclipse--These are my main putters/drivers (though the N Anodes are working their way into some driving duty). They have a bit more action in their flight--flats turn and fade a bit and the domeys fade more than any other Anodes. These are what I work lines with inside 200' because the LSS allows them to fly on jointed shots or to slowly pull out of a considerable amount of anny. My favorite thing about the softs is that they glide/float way more than the other plastics, especially at lower speeds. I think this is because they take spin better, so they are actually flying at lower speeds where the other plastics lose their spin and drop. They push through hyzers less and the LSS reigns them in more at the end of the flight. The glide does become a liability at some point as the wind picks up, especially on drives...It's not their stability that gets tested, rather they simply get pushed around/picked up/dropped by the wind because of their glide. For putting I couldn't imagine using any other Anode. I get better grip and more spin, which translates to more range and less effort. I also like their LSS because I can put with anny and they will fight out straight or they will start dropping/fading at the very end of a flat putt (nestles in the basket).
Neutron Anode--I'm still learning these, but I've got a few of different weight/dome to compare. In many ways the N are a bit of a hybrid between the other two as their rigidity is between soft and reg proton. They are the fastest Anodes and they take power and handle wind the best of the Anodes. They also seem to be the most HSS. I really like driving these because they seem to be begging to be thrown hard. The weakness of the Neutrons, which is what would keep me from putting with them, is that they really drop at low speeds. The amount of dome really makes a difference in the glide of the Ns...I have a flat 175 that has no glide unless launched (but it's awesome in the wind), and then I have some that are a little lighter with higher domes that glide well on normal putter drives and long approaches.
Right now I'm bagging the softs for most duties and the Neutrons for wind or longer line drive drives/approaches.