If by proof you mean record number of crossings then no it wasn’t working. From the BBC.
‘In April 2022, the government said that any asylum seeker entering the UK "illegally" after 1 January 2022, from a safe country such as France, could be sent to Rwanda
The government says the plan will deter people arriving in the UK on small boats across the English Channel, a key priority for Prime Minister Rishi Sunak.
As of 11 June, 11,247 people had crossed the Channel in 2024 - above the numbers for the same period in the previous four years.’
As a side note, it seems Govts of whatever persuasion will be judged on trying to do the impossible. Brexit, small boat crossings, harnessing mythical moon power or whatever.
At some point, the insanity will have to stop. We can start with small boat crossings because the answer to that is to allow safe passage or processing in France. Why don’t we do that? The answer is that we don’t want any foreign people coming here and claiming asylum and we pretend it’s concern about unsafe channel crossings. Small boat crossings drive people mad because every crossing is seen as a visible failure to keep foreigners out. Even more so now given Brexit failed to live up to its billing.
Small boat crossings are the Dunkirk spirit in reverse.