They obviously don’t care as there are solutions. I’m in Australia and we managed it and it’s not ‘different’ for us at all.
There’s a basic formula.
Patrol your border. If we can do it anyone can. Look at a map and check out how much we have to manage. You could basically do it with drones in what is essentially a large puddle between yourselves and possible routes.
Intercept. Do not let them set one foot on your soil. Go back to the 1700/1800’s and hold them in hulks offshore if need be.
Bribe a third world country enough to take them and keep them. Make sure it’s an island so they can’t leave. Plenty would be fine to take your money if you offer enough, which would still be cheaper than paying to accomodate them in UK for life. Places like Guinea-Bissau, Comoros, Kiribati, Tuvalu. Fly them in groups and drop them.
Take a set number through proper application channels with reasonable processing times.
Ignore the minority of do-gooders who will protest. They will protest about the colour of buttercups if you encourage them.
Problem solved and can be done if your government is serious about it. This won a political party an election in Australia a few elections ago, the slogan was ‘Stop The Boats’. This is the sole thing that won it for them. The party has changed since then but the system they set up won’t be dismantled as it’s political suicide for any party to do so, the majority of the population would not tolerate it.