Can an ITIN holder get a refund of federal withholdings from an ITIN/SSN mismatch W-2?

I haven’t done one of these, but if they are due a refund from withholdings and have an unexpired ITIN, will they get a refund?

Long story short, lady came in asking if we could help her boyfriend get his 2018 refund from a return filed by someone else. Turned out the company bookkeeper had issued him a W-2 with a made up SSN that was close to his ITIN, and then changed it to his ITIN with pen on his copy. She had done the same thing for 2019. Since I won’t touch W-2s that have been altered, and she didn’t want to pay us anyway, “she was just looking for some information” I directed her to make an appointment at the local IRS service center where he could at least get his ITIN renewed. She didn’t know if he had gotten a notice that it had expired.

But assuming he had an unexpired ITIN the return had been correctly prepared and he was due a refund from withholdings, would the IRS issue it?