How to create relationships with published content types only?

System Information
  • Strapi Version: v4.3.4
  • Database: Postgres
  • Node Version: 16
  • Yarn Version: 1.22.19

When creating a relationship between content-type A and content-type B, I only want the list to show published items only.

Screen Shot 2022-09-19 at 5.09.03 pm

Is this possible out-of-the-box with Strapi? If so, how?

Otherwise, I think the best solution is to come up with my own Admin UI Component that will only show published fields to select from. Thoughts?