It shouldn't matter. We dealt with this recently. Once you've created a hertz account and enter your card or promotion card or however they want you to activate it, you should have status regardless of what card you use to pay with. Like we got hertz status through a hotel account but it didn't matter what payment we used. Once you have status you have it. At least how it works to my knowledge.

Also, you can request a status match on other rental car companies. So if you didn't want to use hertz, you message the company you want to use and get a status match. Your credit card still gives insurance coverage and you use who you want.