Dani, On a short slick runway as soon as you touch down you will be in reverse thrust and the go around option is not recommended. A system failure, broken linkage is not something that can be easily detected by electronic detection so probably doesn't exist. If they brought both TL's to idle but the computer only sensed #1 at idle because of a linkage failure or electronic failure they would have little time to sort out the problem and shut down the #2 engine while sliding down the runway with no brakes because for some reason they didn't use manual brakes. Without ground spoilers and auto brakes they were in a desperate situation but if they didn't push on the brake pedals why would they shut down an engine to help their situation? 11 seconds is a very long time to not try to save yourself by simply pushing on the brake pedals. Only when manual braking is applied would the thought of shutting down an out of control engine enter your mind.