Unfortunately, there is no basic option to change the behavior of the Job experience detail.
Different accounts can have the same primary contact:
But only one account is displayed as a primary one on the Contact page:
We have already registered the idea for our R&D team to implement the possibility to display several accounts as a primary for one contact on the Contact page. As a temporary workaround, you can create a detail that displays the list of accounts where the current contact is specified as a primary one.