Finland's legislation to ban private schools actually changed how "gifted/special" schooling programs changed too. That's a starter point for people interested to go research it a bit more.
Okay I did a bit of research along the line you said. From what I can find it seems the basis of Finland's school system is that not all students are equal. Report cards are based on individualized grading by each teacher. (https://www.theatlantic.com/national/archive/2011/12/what-am...)
The idea behind banning gifted/special programs is to treat all students equally with equal opportunity and the same curriculum. Individualized grading by the teacher completely violates this idea.
So I am still unsure what point you are trying make. Based on my research Finland clearly rejects that notion of teaching and grading everyone the same.
Finland must be doing g&t differently or you're completely misunderstanding, because in the UK there was never really a hard monetary barrier for the program.
while I agree that banning private schools would force public school quality to rise, that doesn't really have much of anything to do with whether public schools have a gifted program or not.