1. SAE stands for siamese algae eater - you were correct
2. Yes, low tech tanks CAN work without fertilization, but not every type of plant will grow in them. If you go low tech with plants like Anubias, Java moss, Bolibitus and Java fern, I'm sure you'd be able to do it low-tech. BUT you'll have to do regular water changes at least monthly, you'd need a decent number of fish, and there's no guarantee that you'll be able to provide EVERYTHING the plants need without fertilization.
Plants need both macro and micro nutrients. Micro nutrients are generally present in tap water, and your tap water might provide enough for your plants given regular water changes. Macros are Potassium, Nitrate, Phosphate, and to some degree CO2. Potassium can be found in tap water, which is why the water changes are important. Fish will produce your nitrate and phosphate will come from the fish food. On the nutrition labels of fish food there should be "ash content", normally < 10%. Ash basically breaks down into phosphate in the water. Feeding fish (note: do NOT overfeed fish, make sure they eat everything you put in there!) daily could provide enough phosphate for the tank. Notice I said "could". You'll have to keep your eye out for signs of nutrient deficiencies (holes in leaves, plants turning to mush, stunted growth, pale new leaves, etc.) and be ready to supplement if needed.
I'm currently running a low light low tech 12 gallon on a coworkers desk with no fertilization. I do water changes about once a month or sometimes less. The only problems I have with it is brown diatom algae, which is most likely from the lack of good filtration (it is an eclipse) and some overfeeding on my coworker's part. My bolbitus is growing new leaves and looks fantastic. The java fern is bright green and thriving and the anubias is doing very well. Any stem plants, even lower light ones, that I've thrown in there have withered and died.
You may have to play around with how many and what types of plants will work for you - sometimes it is hit or miss and you have to just keep trying new things until you find the sweet spot. Hope this is helpful