I am not sure if asymptomatic transmission has been confirmed or not. I kept hearing that if you didn't have symptoms then you couldn't transfer it, but given the uptick in cases, it wouldn't seem like that is the case.
It's been confirmed, from early experience e.g. with the Diamond Princess and USS Theodore Roosevelt. It seems to be rare.
But paucisymptomatic transmission -- transmission before symptoms have manifested in people who will eventually be symptomatic -- is much less rare. So just quarantining people with symptoms doesn't work.
The definition you give is for presymptomatic not paucisymptomatic (the latter is basically having trivial/mild symptoms that don’t raise complaints), but transmission in both cases is a significant risk, much more so than true asymptomatic transmission.