When the letter of recommendation will be asked for by the hiring committee?
Nobody outside the committee knows. Maybe you are not under consideration. Maybe they ask for letters at a later point of the evaluation process. Maybe they never actually ask for letters.

I understand that applying for jobs is a high-pressure situation, but trying to infer information from noisy signal like that is, generally speaking, not useful. There are just too many variables that you (and we) have no way of knowing.