Not sure about Europe but in the US illegal immigration has been on a steady decline and mostly consists of people overstaying their visas.
I think you have slipped up here, if you are going to question this basic point we are not going to be able to debate this point. ibminer has posted a link to a graph that combines all types of immigrants and we can see that the trend is clearly up. I have looked and I see in several sources that there has been a clear increase in illegal immigration but I will give you
the BBC, which is something like CNN, it is not usually accused of being a right-wing nut:
Border apprehensions include those that have been turned back for example.
I'm looking at the number of illegal immigrants living in the US. It's a decreasing number and ridiculously low to begin with, considering how much noise is being made about it. Around 11 million, or about 3.4% of population in 2022, down from a peak of 12m/4% in 2006-ish. There was an increase from 10.5 million in recent years but it remains to be seen if that's a long term trend.
Source - DHS:
https://ohss.dhs.gov/topics/immigration/unauthorized-immigrants/estimates-unauthorized-immigrant-population-residingMost of those people are not swimming across Rio Grande. They come with a tourist visa or some other valid paperwork and stay after it expires.
Well, there we would have to see what Vance said when his microphone was cut off. If having legal status can be achieved by illegally crossing the border and applying for status with CBP one app for sure, all the millions coming in will be legal asylum seekers.
If the law says you can apply for asylum then you can apply for asylum. The law that was going to be changed (to reduce the asylum backlog) until Trump killed it so that he could milk the issue for the campaign. So Vance can BS all he wants but facts show that (1) this is the law and (2) he (or at least the campaign he's part of) is against changing it.
And BTW the number of people with this temporary status is ~2 million or so. Clearly defeating the absurd implication that anyone can just apply through an app and become legal.