Well, I haven't used both, but here's my take. We have a Ninja. My husband also makes protein shakes every day (yogurt, peanut butter, ice, protein powder, almond milk, banana). And frankly, no, not every blender can make the ice into snow. ;)
However, we haven't used it like you intend to, and it may not be the best choice for your intended use (I honestly don't know). BUT, if you are willing to spend $450 for what you need, I would think the smart choice would be to try the $100 choice ($80 if you use a 20% off coupon at Bed Bath & Beyond) and see if it does work. If not, you aren't out that much, and you could likely find someone who would be glad to take it off your hands. Maybe even sell it for almost all of your money back on CL or something. Or just donate it (your church, a friend who doesn't have anything, etc).
If it DOES, then you just saved $350.
That's how I would look at it.