The system certainly wasn’t working under the last government who seemed intent in politicising the problem by deliberately not dealing with it which created a huge backlog of people who weren’t allowed to work.
Early days for the new government but they do seem to be processing claims quicker. I have no idea what proportion of successful asylum claimants are in gainful employment paying taxes but it’s got to be more than it was when their asylum claims just weren’t being processed.
The fact that Eastern European migrant workers are no longer coming in significant numbers for seasonal farming and hospitality work suggests there’s certainly jobs out there that many could do.
When you ask what skills they have, it’s impossible to answer as they are all different, which is why they need to be processed quickly and either deported or allowed to work.