Incidentally, I live in a City of Sanctuary. We have asylum seekers of all ages and male, female, children, lots in schools. We were granted this status in the late 2000s as we had a large empty stock of family homes (house prices are cheap, and though we're near a university students prefer purpose built student housing, not shared houses). We don't see any local impact beyond more interesting food and culture, and a few groups taking bikes/household items/baby items to donate, and some school places being filled that wouldn't be (group of Arabic speaking mums at the small Catholic primary for example).
More or Less data from Dorset (though I don't see why national data would be massively different) says that 8% of sex crimes were committed by people who held another nationality (including dual nationals). So your MoJ figures can't be correct for the whole country. Did you get these figures from AI like Annunciata Rees-Mogg?
But this 8% includes many people who were never asylum seekers - they came as skilled workers.
And a larger number of immigrants (not just asylum seekers) are a) male b) younger adults, which makes them a more likely group to commit sexual offences.
There are some differences by nationality, but as the programme says we don't even know the number of people of different nationalities in the country. And while everyone cites "culture" as the precipitating factor in some groups' increased representation in some statistics, it could also be trauma - if you saw your mum raped or murdered when you were 14 and then escaped Afghanistan to make it to Europe, I'm guessing you need therapy.
So now all the lazy people don't need to listen to 10 minutes of the BBC. Instead, how about you donate to Freedom from Torture https://www.freedomfromtorture.org/our-work/therapy-and-support