Full Idea
Classical logic neglects counterfactual conditionals for the same reason it neglects temporal and modal distinctions, namely, that they play no serious role in mathematics.
Gist of Idea
Classical logic neglects counterfactuals, temporality and modality, because maths doesn't use them
Source
John P. Burgess (Philosophical Logic [2009], 4.1)
Book Reference
Burgess,John P.: 'Philosophical Logic' [Princeton 2009], p.73
A Reaction
Science obviously needs counterfactuals, and metaphysics needs modality. Maybe so-called 'classical' logic will be renamed 'basic mathematical logic'. Philosophy will become a lot clearer when that happens.