It does sounds like it could be the rack but I have seen where the steering wheel angle sensor goes out and causes the same thing. To test the pump you need a flow test
Here is the location, its not to easy to replace but it fixed the last car we had in the shop.
Check out the diagrams (Below)
Please let us know what you find.
Cheers
Image (Click to make bigger)
Thursday, December 19th, 2019 AT 4:43 PM
(Merged)