How to make the Organization Payment Method Field appear in Employee's Payment Method page

Summary:

Is there a way to get the "Organization Payment Method" field to appear on the employee view "Payment Methods" page as it does on the administrator's "Personal Payment Methods" version?

Content (required):

I want to set up "organization payment methods" with the same "payment type" but different purposes (payroll vs expense reimbursement). The best way to do that is by creating different names for each "organization payment method" from which the employee can choose. However, when the employee navigates to their payment method, they can't see the names of the different "organization payment methods" they can only see the "payment type". Thus they can't tell the difference between "organization payment methods" that have the same "payment type". This can be seen through the screenshots below. Is there a way to enable "organization