TextField inside MultiColumnTreeView is focused only during a mouse click

Reproduction steps:
1. Open the “ColumnFieldFocus“ project
2. Open the “Sample“ scene
3. Select the “Test” GameObject
4. In Inspector click the TextField inside the “Test Column”

Expected result: The TextField is focused
Actual result: The TextField was focused only during the click

Reproduced in: 2022.3.5f1, 2023.1.4f1, 2023.2.0a5
Not reproduced in: 2023.2.0a6, 2023.2.0a23
Could not test in: 2021.3.28f1 (no MultiColumnTreeView)

Reproduced using: macOS 13.4.1 (Intel), Windows 10

Note: Also reproduced in runtime