He is lying by omission regarding the low return rate under Dublin (to justify the Rwanda plan?) although of course the clip is edited and we don't know if he did mention it. From your link;
“When we did check it out, just before we exited the EU transitional arrangements on 31 December 2020, we did run some checks and found that about half the people crossing the channel had claimed asylum previously elsewhere in Europe – in Germany, France, Italy, Spain, somewhere like that, and therefore could have been returned."
Nick Timothy MP
But in the last year we were able to use the Dublin Regulation [2020] as this rule is called, only 105 out of more than 8,500 requests by Britain were granted – just 1.2 per cent of the total.
https://www.telegraph.co.uk/news/2023/03/05/rishi-can-stop-illegal-immigration-keeps-european-court-quiet/
In 2019, there were 2,236 requests from other member states to transfer individuals into the UK under the Dublin Regulation. There were 714 transfers into the UK under the Dublin Regulation. The majority (496) of these transfers came from Greece.
Over the same period, there were 3,258 requests from the UK to transfer individuals out of the UK to other member states. There were 263 transfers out of the UK under the Dublin Regulation. Of these transfers, 104 (40%) were transfers to Germany and 53 (20%) were transfers to France.
https://www.gov.uk/government/statistics/immigration-statistics-year-ending-december-2019/how-many-people-do-we-grant-asylum-or-protection-to
In 2018, there were 1,940 requests from other member states to transfer individuals into the UK under the Dublin Regulation, and 5,510 requests from the UK to transfer individuals out of the UK to other member states.
Over the same period, there were 1,215 transfers into the UK under the Dublin Regulation. The majority (946) of these transfers came from Greece.
There were 209 transfers out of the UK under the Dublin Regulation. A quarter of these (51) were transfers to France.
https://www.gov.uk/government/statistics/immigration-statistics-year-ending-december-2018/how-many-people-do-we-grant-asylum-or-protection-to