The Gr’a Offen Ort … is disputing the Mechaber about the priority of beis haknesses.
Poor Torah learners, children or adults, take precedence over anyone but relatives (poor relatives who are Torah learners would be the absolute priority*, aside from pikuach nefesh).
Children take precedence over adults because their Torah is b’li chet. Otherwise, there’s no difference relative to other tzeddakah needs.
Whether poor relatives take precedence over Torah learners seems to be a machlokes (check out the sources in the article which I linked to earlier) although the C.C. seems to give priority to krovim.
My point about chomesh was to demonstrate the primacy of supporting Torah learners. Although there is a chiyuv to give “tzeddakah” (to poor people), the bulk of one’s donations should be to support Torah.
* Exactly opposite Feif Un’s misinformed position.