Yes.

In this case you're explicitly running the script within the here-document with `bash` already. There's no need to add the hash-bang as it will be treated as a comment.

In the case of `#!/bin/bash -x`, you will have to use `set -x` inside the here-document to get the same effect as running the here-document as its own script, again, because the hash-bang is treated as a comment.

The hash-bang line is used when executing an executable text file from the shell. The line tells the shell what interpreter to use to execute it, and optionally allows you to specify one argument to that interpreter (`-x` in your case).

See also the Wikipedia entry for [Shebang](https://en.wikipedia.org/wiki/Shebang_(Unix)).