I don't buy this argument, much like I don't buy the similar "they said the same when calculators were introduced".
It negates that some changes are qualitatively and scale-wise different. Also, by gradually chipping away at things that humans do, you (we) keep shrinking and shrinking until there's nothing left, every step of the way some people claiming "well, the telegraph operators said the same". Keep in mind that, while it's hyperbole, some AI entrepreneurs are actually saying stuff like "maybe jobs will become a hobby". Unrealistic for now, maybe, but if they do become a hobby, what leverage will we have at all?
In other words, it's true the past is worth keeping in mind, but not to the exclusion of the possibility that this time it's different. Or that the trends of the past actually point to harm in the near future.