The option to have All Updates filter on the profile page Timeline tab (same with the Activity Feed page) is not available on the platform.
If the requirement is on top priority for your website, you will have to connect with your personal developer to make the required changes.
Profile Page (Timeline Tab)
You can share this great idea on our new roadmap. Head over to https://www.buddyboss.com/roadmap and click the + Submit idea button to suggest a new feature.