No, when I say “unskilled labour isn’t a thing” that’s also precisely what I mean. The term indicates that you do not require any sort of skill before doing it; a literal infant could do it. As far as I am aware, no such labour actually exists.
Are we saying that certain labour requires formal education? Why wouldn’t we simply use a term reflecting that, in that case? I don’t have any formal education in software development, I am entirely autodidact. A profession born from too much free time and not enough friends. Now I’m a professional dev, making software that is core to operations to one of the biggest (in terms of GDP) corporations in my country.
Is my job then unskilled labour, or am I an unskilled labourer performing skilled labour? In which case, can the labour really be that skilled if an unskilled labourer can do it? If say a taxi driver helps deliver a baby, does that make obstetrics a non-skilled profession, or is it just the birthing part that doesn’t require skill? For that matter, my roomie did actually go through a one year course before he got his trucking license, does that make it a skilled profession?
It’s a nonsense term. Unskilled labour isn’t a thing; all labour require a measure of skill.