As someone who is coming directly from a year with the S6 to the S7 Edge, I can safely say the S7 Edge (and presumably the S7 standard) truly does address all the little shortcomings of the S6.
Fingerprint scanner is faster.
Battery life is no longer a worry (bit of a cheat since I'm jumping to the Edge's 3600 mah size battery!). I'm easily getting 5+ SOT a day. If I wanted to, I'm sure I could push it to 6 or so. And once again, with quick charge/wireless charging, topping off the battery has never been easier. I just don't think about battery anymore.
Waterproofing makes wet hands or drizzle-y weather no longer a concern. The other day, I was walking my dog in the drizzle. No problem pulling the phone out to use. It's quite a luxury to be able to eliminate worries.
TouchWiz is better in every way. Hands down the best combination of useful features married with stock Android's stability and speed. It's not just been lag-free; it's actually fast. Everything responds right away and animates smoothly. I have yet to see any major hiccup in real world use after setting up the phone. Coming from the S6, I didn't think the difference could be so great, but it is.
Camera is better.
MicroSD has won me over. At first, I lamented the loss and simplicity of 64GB/128GB onboard storage options, but now, I'm a believer. I get far more storage than I ever could before, and all for far less money. That's a win. And thankfully, it's all very easy to use. You just set it up and kind of forget about it. Photos go where they should go, and playing music back from the microSD card is seamless and problem-free.
Then you consider the better build and ergonomics, and whatever else I've forgotten.
This may be the single greatest year to year upgrade I've seen and experienced in a smartphone. It's an insult to call this an 'iPhone-like S iteration.' I wish Apple would upgrade their S-generation smartphones like this!
And can we give a moment to appreciate all the insane offers and promotions? Free Gear VR, free year of Netflix. I got an email saying I'll get a free 32GB microSD card (did anyone else get this?). Free $30 gift card for using Samsung Pay the first time. Didn't a few people get a free wireless charger, too, for setting up Samsung Pay? I missed out on that. Just a ton of wonderful goodies and incentives.