How fast should the outside world seem to an observer falling into a black hole from initially at rest very far away from a Schwarzschild Black Hole? Since Special relativity cancels out the general relativistic effects, the outside world should seem to have the same speed as his, i.e. as per his clock he should observe no time dilation looking outside, before and after falling through the horizon. Am I right?
This question was previously deleted with a link to how falling clocks slow down with respect to remote observers. My question not about how fast outside observers see the falling clocks tick. I asked what a falling clock, or a falling body sees looking outside, i.e. how fast distant clocks seem to him.