You're right,
On top of the incompetent, expensive, make it up as you go along shit show, the corruption and the bewildering bureaucracy, there's the added complexity that arises when you have in the body politic, two distinct and completely incompatible views of the same problem.
On the one hand we have 30p Lee and the GB News, Farage crowd who just want these "economic migrants" stopped, which in practical terms cannot be done, coupled with the general view within the conservative blob that this isn't a processing issue, it's a deterrence issue, hence all that "hostile environment" stuff back in the day...
But for the Labour left this is solely an asylum claims issue, the likes of Owen Jones and the Guardian see a backlog, not of "economic migrants" but "asylum seekers" and the problem solved by setting up safe, legal routes to the UK, perhaps a UK asylum processing centre in France, the French have no objections.
These two approaches are incompatible, as they stem from different interpretations of the same problem, or even, as in the case of the Labour left, whether it's a problem at all. They're keen for these asylum seekers to be processed expeditiously, and either deported or active in our labour starved economy asap.
We all know Sunak is weak, but that is only a partial explanation for his failure, he fails because he's more Lee Anderson than Owen Jones, if only because he knows what little support he has left in the country is primarily anti immigrant. Streamlining the process might clear the backlog, but he fears that'll mean more Johnny foreigners staying and more Johnny foreigners potentially heading our way, and they don't like that sort of thing in the marginals he still hopes to cling onto.
And therein lies the rub.
Deputy Tory party chairman, Lee Anderson.
'F**k off back to France'
With the threat of Reform UK to his right, with Richard Tice threatening to field candidates in key seats at the next election, Sunak knows he's in the shitter. He may not be able to solve the "problem", but he must be seen to be tough in the process, while blaming lefty lawyers, Labour, Starmer and anyone vaguely liberal, for his inability to get it done (whatever it is).
In the meantime, whatever it is, complex or otherwise, it ain't getting done.