I'm looking at the exemption in section 3, at (3)(a)(i) for relief. It says:
(3) It is not a violation of subsection (1)(b) or (g) to use all or more than 4 sequential digits of a social security number if the use is any of the following:
(a) An administrative use of all or more than 4 sequential digits of the social security number in the ordinary course of business, by a person or a vendor or contractor of a person, to do any of the following:
(i) Verify an individual's identity, identify an individual, or do another similar administrative purpose related to an account, transaction, product, service, or employment or proposed account, transaction, product, service, or employment.
Particularly, "...similar administrative purpose related to an account, transaction, product, service..." - I think that applies because you don't have control of the situation. The SSN is the identifier for the activity in this case, and I'd be reluctant to get the customer involved.
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Opinions are Bartman's, not those of my employer. "A noble spirit embiggens the smallest man."