There are anecdotal reports that additional Gold cards on a personal Platinum account have had Global Entry fees reimbursed, but the written terms show that only additional Platinum cards should qualify:
It's more than just anecdotal. The written terms go on to say:
To receive the $100 Global Entry statement credit, Card Members must pay for the $100 Global Entry application fee with an eligible Card. Additional Cards on eligible Consumer and Business accounts are also eligible for the $100 statement credit.
There is similar language for the TSA/PreCheck credit.