If they are genuine aslyum seekers then the process should sort it out, and quickly.
The issue is that processing and action is not happening at the speed it should. It's not a recent thing, the can has been kicked down the road for the last years if not decades, by the last few governements in particular. The Tories.
Nobody, in here certainly, is supporting more. They are asking for an adult way of addressing the problem, and then sorting it. It really isn't just an issue since the last election, no matter what some people tell you.