I think what you try to do works only partially.
The key is the little Anchor Symbol in the Anchor Strip of the Audio File Editor. Right-click on it to bring up its Shortcut Menu that contains only one command: "Lock Position in Track when movie Anchor". It is selected by default. Unselect it. Now, when the Anchor is aligned to the left border of the Region Selection (not the waveform selection), you can drag the left border of the Region Bar (the one below the waveform indicating the left and right border of the Audio Region), then the left border of the Audio Region in the Workspace stays at the same Position and the waveform underneath moves accordingly.
However, when you try to move the waveform selection with he Hand Tool, the Anchor doesn't move with it.
This whole Anchor feature with its two states (Locked and not Locked) is a bit tricky to wrap your head around because you have to understand what is actually locked, the Region against the Timeline or the waveform against the Timeline.
In your case, you can only drag the left border with the Region Bar and not move the entire Region (but that means oyou change the length of the Region/Selection. Instead, if you make the waveform selection and choose (Selection ➤ Region) then the Anchor will unfortunately be ignored and the Region will move its position on the Timeline of the Waveform.