I wonder how far it could go with a camera regulating the speed according to how far behind or ahead the slinky was. Probably 140 steps, still.
Man, asking all the hard questions. It reminds me of the "If a tree falls in a forest and no one is around to hear it, does it make a sound?" question. Maybe you could live stream it though.
Also note that there are juggling machines that are stable without any active control [1]. Designing a self stabilizing slinky escalator could be really hard though (if not impossible).
Also, Hi Matthias! I'm a big fan of your YouTube videos, it's really great to see one make it to HN (even if it wasn't linked directly to you).
You could even ask for donations with a "keep the slinky slinking" button, so you could pay for electricity and server.