The AAO and AAPOS don't associate strabismus with squinting. So why was a word etymologically meaning 'squinting' adopted to describe this muscle condition?
"a squinting," 1680s, medical Latin,
from Greek strabismos,
from strabizein "to squint,"
from strabos "squinting, squint-eyed," related to strobos "a whirling round,"
from PIE root *streb(h)- "to wind, turn." Earlier in Englished form strabism (1650s).