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Neither are responsible. You will need to organise for the phone point to be wired inside your home.
That said when the NBN guy rolls up on the day you can usually request they extend the wire a little further if its not that involved. But the installer has last work so they may put an outlet in the front corner of your house and the job is considered done.
Optus and NBN staff generally only use existing lines once inside your home. The NBN guy only has to get the line to the front of the house (its pretty poor he didn't thread the wire into the other side of the wall, but not an obligation). The Optus guy will generally only use existing infrastructure and is there to set up the modem really.
To answer your question the HFC line is not usable instead (in fact the Optus HFC network is being torn down and that cable will be removed completely after you get onto the FTTN NBN). You could use the HFC cable as a drawstring to pull a copper cable through to the same outlet (but you'd stuff up your existing cable doing that though).
I think you'll need to bite the bullet, just call a Jim's Phone Install and grab a quote. Its not a job needing an electrician so should be fairly cheap ($150?). Note just get a single point put in as FTTN often works worse when multiple points are present.
After the install contact Optus and they come and sort the modem, although if its going to cost anything a self install is pretty much childs play (just plug the modem in to the new phone line and ring Optus to step you through setup)