I don't think that follows at all. People need to accomplish things, yes. Those things don't have to be work in the sense we mean it today.
i think the word "work" is overloaded with two meaning - one being the regular meaning of doing work (for a wage/price). The other one being to exert oneself.
People _do_ find meaning in exerting oneself, but only for a purpose which is not merely sustenance. For example, intrinsically valuable work like artistic pursuits is work, but would still be done in the event of post-scarcity.
The way we designed out current society makes unemployed people some kind of pest, it's not glorified, quite the opposite.
But that's not a god given rule, nothing obliges us to follow that path, especially if (big if) AIs/robots take over most things.
If anything you're flat out wrong, automation moved people from stable and fulfilling jobs (small companies, family companies, life long carriers, &c.) into more and more precarious situations (minijob, student jobs, faceless corporations, hashed carriers, &c.)
Productivity shot through the roof while wages stagnated
PS: I've been unemployed for large chunks of my life and had perfect meaning, I was productive, learned stuff, created stuff, enjoyed nature, got in shape, &c.
People need work to feel that their lives have meaning.
Post-scarcity utopia is exactly that. A fantasy. If people have nothing to do then civilization will collapse.