It's hard to know what you are both advocating
I'm not advocating anything.
I am being really boring and practical.
At the moment the UK has quite a long list of areas of work that will allow people who want to do that work to come to the UK.
In this case the info is (surely?) easily accessible and so every month or whatever, these figures can be published. And in most instances these are jobs that are not taken up by UK citizens (hence talk by labour about upskilling our current work force)
And if in publishing it there was the a huge number of UK citizens saying but I wanted to do that job but they aren't paying the going rate then it is part of uk policy that migrant workers are not used to undercut the "going rate".
And maybe employers would have to show they had properly advertised vacancies etc..
Asylum seekers is something that the UK should be helping with other countries to do their / our fair share. I think there are easier to read stats than this link but no time to dig them out. https://www.economicsobservatory.com/asylum-seekers-in-europe-where-do-people-go-and-why
You have to wonder who it is in the UK that has this vested interest in creating this impression that we are being invaded compared to other countries. And hate to say it but one reason is that for the media it is the photo op of people in boats approaching Dover. If the UK had got off its backside and created processing centres in any number of countries eg Greece often the first europen country asylum seekers reach, there would be not need for mad and dangerous crossings of the Channel on inflatables.
The far bigger question of why so many people are seeking asylum is so huge, ie has so many aspects, that I am not sure whether any country, group of countries, can answer.
ie war, invasion, civil and political conflict, climate change, famine, hard line regimes, being a persecuted minority, former colonial exploitation of a countries resources, current exploitation of a countries resources to feed a greedy western consumer society, and ....
So it isn't about what I want, other than I want people to talk about the reality.
Not shit stir and victim blame.
Not forgetting the shame of the Windrush Generation who were asked to come and help the UK recover from WWII and then failure to preserve records and a "hostile" environment led to people who came at that time, or children of these people, were forcible deported to countries they had nothing to do with.