I don't have first-hand experience, but yes that is my expectation. Since she had an AP and allowed it to "lapsed last year" (according to the OP), the voucher would presumably renew her prior AP with the same expiration date one year later. I would not expect it to pick-up as of dad's expiration date, nor would it be a new AP starting the day it's activated. Depending on when the daughter's AP expired, this may or may not be a good use of his renewal voucher. OP hasn't given any indication as to the expiration dates of the APs involved.
Important to point out that if the voucher is transferred to the daughter and used by her, the husband will no longer have an AP. The current question of APs being uncertain leaves a lot to be considered for OP's decision.