Hello JStefanec,
I love that you're sticking with QuickBooks and hope that the Enterprise edition of the software meets your bookkeeping needs. I know how important it is to have the features that work for you, and I can also appreciate the oddity of a feature you're used to in one edition not being available in another. I want to make sure you get the information you need about this.
Typically, when you're working with the different versions of QuickBooks Desktop, things are kept in the same place or at least a relatively close place across the editions. This is helpful for situations like yours where a user stops using one edition and starts using another; that way, it minimizes the need to reorient yourself.
In this case, the Gen Liability Expires should also be in the same area of the Vendor profile setup. Since it's not there, it could be that this option is limited to Premier of the software, even if you have both the Premier and Enterprise version configured for the Contractor edition.
To learn if that's the case and what your workaround options may be, I recommend connecting with the QuickBooks Desktop support team using one of the options outlined here: Intuit QuickBooks Desktop software support policies. The good news with an Enterprise subscription is that the support costs are factored into your rate, so you don't have to worry about paying extra to work with a member of our team.
Don't hesitate to stop by the Community again, even to share the outcome of the situation on this thread. Wishing you the best!