Frankly, Danci you have no idea what you are talking about, detention is where processing happens, so they couldn't have been refused, in fact, very recently the US resettled people who were in detention on Nauru, they would have hardly done that if thy had failed their assessment, would they?
detention is mandatory in Australia for boat arrivals, all of them, and BEFORE their claim is assessed, so yes, they are asylum seekers, Australia simply refuses to take them in on the basis of discouraging people smuggling
there are children in detention, there have been deaths in detention, pregnant women have struggled to access care while in detention
it is an appalling and inhumane system, and I would urge everybody to seek more detailed information about what is going on in Australia, it is not hard to find