I participated in hiring at my last airline and I know ALOT of pilots and I’ve never known a single one who was asked under what “part” were they trained. You either earned your licenses and ratings or have not. That combined with the fact that ATP had over 300 pilots hired by airlines in the last year alone demonstrates that fact.
As for the hour reduction (for a RESTRICTED-ATP) that only applies to training programs in conjunction with aviation degree programs (if you had done your flight training at ASU WITH your degree that would apply). Having not there is no reduction available unless perhaps you do go for that Masters?
CFR 61.160 b.3. (ii) The required flight training was completed as part of an approved part 141 curriculum at the institution of higher education or at a part 141 pilot school that has a training agreement under § 141.26 of this chapter with the institution of higher education.