it could very well be the pump. only one thing really causes that noise and thats air in the power steering system, and trust me, they can be a serious SOB to bleed. occasionally when air has been in the system and does damage the pump the bearings in the pump can make a similar noise, and thats when you know you need to replace the pump.
it could also be that you just have a lot of bleeding to do still.. in which case replacing the pump would be counter productive.
it could also be that you just have a lot of bleeding to do still.. in which case replacing the pump would be counter productive.