Give the possibility, not the result
BetterPicGiving someone a professional portrait belongs to the category of things almost everyone needs, almost nobody initiates, and are visibly useful once done.
It fails in exactly one way.
The failure
Assigning someone a face. A headshot is a statement about how a person wants to be seen, and made on their behalf it lands as an obligation rather than a benefit.
The people most likely to resent it are the ones who most needed a new portrait.
Why the form matters more than the price
A finished image and a gift card cost the same and are received completely differently. The recipient choosing which image becomes theirs is the entire difference between a present and a task on someone's list.
Why it works at all
Most people never get round to this. Not for cost reasons — because it requires deciding to, then a date, then travel.
Removing those three obstacles is the whole value.