Steps to reproduce:
1. Create and open an empty project
2. Go to the Package Manager and add a package by name: “com.unity.memoryprofiler”
3. Open Memory Profiler by going to Window → Analysis → Memory Profiler
4. Import user attached “Boat Attack (Windows)” snapshot to the Memory Profiler and open it
5. Go to the Unity Objects tab and observe the search bar

Expected result: Lets you filter the search (e.g. by name, by type)
Actual result: The search bar can only search for items that contain text in the target object's name

Reproducible with: 1.0.0-pre.1, 1.0.0 (2022.2.1f1, 2023.1.0a24)
Not reproducible with: 0.7.1-preview.1 (2020.3.43f1, 2021.3.16f1, 2022.2.1f1)

Reproduced on: macOS Monterey 12.2 (Intel)

Note: If testing with not reproducible version, on the 5th line go to the Objects and Allocations tab and observe filtering options