I think that this will do what you want. It is not perfect. You will need to drag the leader to the line.
"Structure Text" is the multiline text component. Text Height = 0.10". Background mask is on.
Add a line to the label style.
Anchor it to the top left and top right of the "Structure Text".
(This automatically adjust the length.)
Shift the line down as shown. (Adjust the Y offset as desired.)
X offset has been adjusted to match your example.
Be sure that dragged state is set to as composed.
Be sure that the line is at the top of the component draw order.

Place the label.
Drag the label text to the desired location.
The leader connection will be wrong.
Select the label text, click the diamond grip and drag to the end of the line.
(See highlighted label below. Snap works.)
This label style works for both left and right drag as shown in the two lower examples.

I hope that this is close enough.
Good Luck!
Chris
Christopher Stevens
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