I doubt much will change in London over the long term.
Johnson and his government are doing with the Ukraine/Russia issue what they have done on virtually every other topic: talk loudly and carry a very small stick. They have made some grand statements about punishing these oligarchs, while moving at a glacial pace, so as to allow these oligarchs to liquidate as much as possible and flee.
I think, once the war in Ukraine is over (please God that's soon), the next Tory government (it's always the Tories!) will simply revert to type, take money from the Russian oligarchs who still want access for their kids to schools such as Eton, Harrow, etc. and allow the laundering to continue.
As long as the Murdoch press continues to misinform the British public on these issues, Johnson and his Tory ilk will have enough air cover to continue allowing these oligarchs to finance their party (political), their parties (social), and further corrupt the entire political system (see "Lord Lebedev").