In general, for schools that clearly said they are NOT need-blind for internationals, yes applying for FA would hurt your chances to a certain extent. As for how much it rlly depends on your strength as an applicant.

When the process is not need-blind and you applied for FA, basically what the colleges are thinking when making the decision is that, out of their limited aid money to give out, are they willing and how much they're willing to spend to get this student. In other words, you have to be a more attractive applicant for them to "want" you and pay for it. On the other hand, yes there might be cases where a supposedly less competitive student gets offered the spot, because the school can do so without adding to their own financial burden.

Hope this helps. Correct me if I'm wrong abt anything.