There are a few potential options that appear in or occur as one reads the literature (the linked Wikipedia article lists several references, beyond Bloom's own work). That includes inflection points in the effect, that is, some advantage occurs with lower degrees of specificity, particularly with instruction at a 1:10 -- 1:15 instructor/student ratio or so. Another option would be to randomly apportion tutors to the general population, or to assign tutors either to particularly talented students (regardless of family wealth/income), or to specific underprivileged populations (to reduce systemic and historic educational gulfs), or simply at random (which avoids numerous social, political, personal, and/or academic faddish biases).
The problem is how to bridge the gap in a way more people realize similar benefits.
https://www.nature.com/articles/s41539-017-0012-7 "Montessori education: a review of the evidence base"
but you just need to look at the montessori methodology to see how it works. it may not be as effective as pure one-on-one tutoring but it is certainly way more effective than regular classroom teaching.
keep in mind though that the name montessori is not protected and that there are many schools out there that are montessori in name only without actually having trained teachers.
the lack of good studies of montessori is frustrating to me. the montessori method is as scientific as education can get, free of any ideology or philosophy, unlike eg. waldorf, and therefore should be easy to apply on a wider scale. the teacher training is not expensive (about a year) and could easily be integrated into any general teacher education. the teaching material is more elaborate than just books, especially for the younger age groups, but the high cost now is mainly due to a lack of scale.