Parental choice was always an illusion - it boiled down to (a) girls' schools without a boys' equivalent which means a less than balanced intake in surrounding schools, (b) faith schools, which are only a choice for some and segregate communities, (c) grammar schools which aren't a choice for those who don't qualify, and (d) comprehensives which don't always have a balanced intake and yet are the only option for those not qualifying for (a), (b) and (c), or worse, secondary moderns.
A lot of free schools have gained support because they are in areas with (a), (b) and (c) for parents who don't want (d). However, category (d) suffers even more and becomes half-empty as a result with double the FSM, SEN and low attainers who live in the wrong catchment area for the free school.
Specialisms aren't meaningful any more with a strictly prescribed curriculum and Ebacc targets. So that's not really a choice either.
Leaving school planning up to parents isn't a brilliant idea because they mostly only care about their own families, not the bigger picture. But sponsored academies often fall into category (d) too, so Labour wants to make sure they get buy-in from parents and fill up.
But Labour still needs to tackle faith schools and how to have fair admissions policies generally. Then we wouldn't need the 'choice' 