According to this website,
https://worldpopulationreview.com/country-rankings/refugees-by-country , as of just before the Ukraine crisis France hosted about 543,000 refugees compared to 223,000 in the UK. In both countries the number of asylum seekers in that total is just over 80,000.
We are not the country of choice for most refugees / asylum seekers. We take a reasonable number and a country of our resources should be able to manage it without too much fuss. Unfortunately for those coming here and for the locals that suffer the consequences of the mismanagement of the processing of refugees, the government want it to be a big problem to stir people up and secure the votes of people who wouldn't normally even think about it.