Does sending living persons' data to a print vendor violate FamilySearch's privacy rules?

I understand that FamilySearch restricts living persons' data to be visible only to the authenticated user who added them — it's not shared with other users. I'm building a product that uses this data to generate a PDF, which the customer can then order as a printed book through a third-party print vendor.

That means the living persons' private data would pass through the print vendor's systems (upload, processing, printing) — a party other than the original user. Does this violate the living-persons privacy protections, or is this an acceptable use case? If not, is my only option to restrict the product to deceased individuals only when print fulfillment is involved?