There's not really any conversation that needs to take place. Economic migrants are welcome provided they fit within the criteria decided by the government of the day. That will depend on what sectors of the economy are underresourced, whether that is the care industry, the hospitality sector, fruit pickers, whatever. What we need one year will not be what we need the next year. Anyone who doesn't fall within the relevant visa requirements is simply an illegal immigrant.
Asylum seekers are those whose circumstances in their home land are such that we have a legal duty towards them as set out in various treaty obligations which the UK has voluntarily entered into.
There is very little wrong with the process, which is a simple matter of assessing the personal circumstances of each applicant and making a decision based on the relevant legal criteria. The problem is that we have a huge backlog of applicants caused by the fact that the UK Government has massively under-resourced this part of the Home Office, and the government recognises that its electoral base is vehemently anti-immigrant whatever the reason for the immigration. So instead of funding our existing asylum system properly ity has spaffed half a billion up the wall on this fucking batshit crazy Rwanda scheme that will not work in a month of Sundays.
BTW have you stopped blaming the French now?