This is certainly not a new perspective; it's what I was taught growing up.
It sounds profound, but I take some umbrage with it, because it stops short. What kind of work? How much? For whom? It's a terribly convenient thing to promulgate the idea that "we were designed to work" without further clarification when you own capital and reap the value of others' labor, and it's an easy thing to say when you derive healthfulness from the work that you personally happen to do. By "work" do you mean activity that's deemed productive to modern society? Otherwise, why not say people need to spend some time being focused, exerting mental effort, being creative, having long-term goals or engaging in long-term endeavours, &c, if that's what you really mean?
I don't mean to sound suspicious or to insinuate some dark motivation on PG's part, but it (ironically) seems lazy to not bother to scrutinize the modern conception of work – to take something for granted because it's all that most of us living have ever known.
We need exercise, but we can get that running for our lives or playing a sport, and the latter is less dangerous (and preferable unless you're a thrill seeker). We need work, but do we need to get that by doing the things that we call "work" today?
(As a total aside: this reminded me of [1], shared some time ago on HN, which tenuously suggests that we were also designed to be idle. I took "designed" in PG's comment to mean "evolved", and my assumption is that small, pre-industrial societies are more representative of the conditions of the past few hundred thousand years in which modern humans evolved.)
Edit: @kergonath also replied to the idea of too much idleness elsewhere in this thread [2].
[1] https://twitter.com/mnvrsngh/status/1510978995269029888 [2] https://news.ycombinator.com/item?id=33931427