The video they are referring to has a very specific part about pcr testing (relevant to the discussion here). I think it is reasonable to trust his opinion on the matter regardless of what he thinks about AIDS.
Moreover, PCR testing during the covid epidemic, which he was not alive for, has clearly been working well. High cases later correspond to high hospitalizations and high covid-19 deaths and high excess deaths across many different countries.
Frankly I don’t put much trust in his Nobel, any more than Michael Levitt who is also a Nobel laureate and has repeatedly made falsified predictions about the Covid-19 pandemic.[2] It seems pretty clear that Nobel prize winners can later lose touch with reality.
There is no correlation between COVID health outcomes and levels of testing.
In the case of Covid, "hospitalizations" are largely defined as "in the hospital with a positive PCR test", so this is a truism. Deaths are predominantly downstream of "hospitalizations", so again, this is a truism.
Any pathology in PCR testing would equally affect "hospitalizations" and "confirmed deaths".