Peter,
Yes!
If your host’s docs don’t make it clear exactly how to identify for RW the path to the directory you should use, you have nothing to lose by trying them each in turn - as long as you remember to tidy up (by deleting all the files in the area that doesn’t work) - so that it’s clean again when it does.
Does ‘Test Connection’ work in both cases: that’s really only proving that the authentication (login and password) are correct and that you can get to the server?
Then - whichever will allow you to get all your files from within RW, as you are working towards now - into public_html or, you should be OK.
This inquiry suggests your with Digital Pacific Pty. Yes?
If so, then this page suggests that it is indeed public_html that you want to be in :-).
You’re very close; this page might also help. Good luck!