No, you cannot say that. It is too early to tell.
Only someone in bad faith or who doesn't know what they're talking about could say that.
As has been explained, many families going private had always applied to state schools as a plan B, so there was never going to be a huge increase in application numbers.
The real question is: will waiting lists move less this year than the previous ones, because fewer kids go private and more families accept a place in state schools, place which they would have refused in the past to go private?
THIS is the real question. And it's a question which cannot be answered now, but only in September 2025.
Also, national averages are meaningless. Not every single school in the country will be disrupted, but some areas will be disrupted much, much more than others.
Lastly, it is worth noting that Labour did not do any estimate, modelling nor costing exercise. And they have no plan for how to monitor the impact, how much money they expect to raise, how to spend it, etc. Because ideology trumps evidence. And I say this as a historical Labour voter who has never voted Tory.