A few random thoughts:
-Theme/"luxury" - I think AKLwins hands down. But, the setting across from Disney Springs is nice (and, as westie55 said, if you are a horse person or from Upstate NY, there are certainly exceptions). I also see the old Disney Institute in it, so it feels like an "overlay" - but not something the average guest sees necessarily. The lobby at SSR is nice. The lobby at AKL is stunning, especially since you have two (Jambo and Kidani). AKL feels much more high end and remote - and is unfortunately just that - remote! SSR is more in between the deluxes and moderates for me.
-Location - The access to Disney Springs is nice, but it really depends on if you plan Resort-to-Resort travel. The walk from SSR to DIsney Springs and then around Disney Springs is actually longer than you may think. AKLis way out of the way. But, navigating the resort once you are there is a bit easier. You do have walkable access.
-Rooms - These are fairly a push, save for Savannah view. That's a huge plus for AKL, but not sure you're looking for that. Inside, it's more theme preference and the slight advantage of fully indoor hallways vs. covered hallways.
-Food - This is personal. AKL has some of the best food on property. But, it is somewhat unique. SSR on the other hand has pretty basic, lack luster food options to me. But, you have access more easily to all of Disney Springs. And, there's something big to be said for grabbing a pastry at Amorette's, poutine at Daily Poutine, etc. then walking back to SSR (pretending you are burning off any meaningful portion of the calories consumed!).
-Activities/Rec - This is a tie, but with differences. The pools at both are actually great. I may like AKL slightly better, but more because the resort surrounds it a bit, and you have extra Savannah's nearby. Generally, it's a push. For other activities, it's really the Animals vs. Disney Springs. The Savannahs are really cool. So is watching and walking to Disney Springs. I would note the rooms near Disney Springs at SSR are preferred (upcharge) as are the Savannah Rooms at AKL (upcharge). So, review accordingly.
-Transportation - This is generally a tie, too (except for Resort-to-Resort). AKL is more compact, with one bus stop for each side. SSR is more spread out, but there are bus stops scattered about. So, based on your room, you could end up walking generally the same distance at both. Neither is particularly close to the Parks (save for DAK for AKL, but you still require a bus). The big exception here would be Resort-to-Resort. You have the ability to walk to Disney Springs and get buses to any resort hotel and vice versa at SSR. It's a hike, but you have more control than the required bus-to-a-park-then-other-hotel set up for AKL.