> Sliding doors in shops/trains/elevators have been around for ages and they include sensors for resistance

Some of these are pretty crazy too.

Here's a video from 14 years ago where a table saw stops fast enough that it didn't scratch a hotdog: https://www.youtube.com/watch?v=fq3o0VGUh50

So even if this hypothetical robot had saws for hands it could be mostly safe (in theory).