Indent for every staff for section labels?

In a leadsheet I want to put section labels at the beginning of each section.
I’m using rehearsal marks and want them to be more to the left so they don’t get in the way of chord symbols and for more clarity.

Therefore the staves should move to the right, because nothing can cross a frame border, as far as I know.
It could look like this:

I can move all rehearsal marks manually in engrave mode, but I’d like to know if there is another, smarter way?

No, since rehearsal marks are attached to the staff, they can’t be automatically placed outside its leftmost boundary. I haven’t typically seen the second example you posted.

You could try using a condensed font for the boxed text.

Thanks, Dan. I was thinking of some lead-sheet style like