Gearbox is new, along with all of the front suspension so I would say that there is not any binding.
Many times with new parts there is a binding, in particular with some of these kits, with online retailers that incorporate the cheapest parts from China.
Unless you specify Moog or maybe trw or Dana, it’s suspect. Even Moog has a problem now and again.
What you are describing is a memory steer.
Which usually to me, means something’s sticking. you are driving down the road it’s all good on a smooth road, you come across some bumps, maybe uneven pavement, undulation, etc.. and your forced to correct the wheel. Well when you go to correct, you sometimes have a slight binding no movement in the steering, and when you keep moving the wheel it breaks free and subtlety lunges to far causing over correction. So it’s constantly hunting, ping pongs all over. Lol I love that phrase. Hardly notice it on flat roads though.
In order for me to find the problem I have to take the nut off the outer tie rods, and drop it from the spindle and make sure the spindle moves freely. As in two fingers on it, maybe 3. If it takes some force to move, it’s gonna have a memory steer.
So you eliminate anything in the spindle or ball joints being a problem.
If nothing, you move to the idler arm and intermediate shaft. Lastly the gearbox.
I’ve went through 3 gearboxes from parts stores to get 1 good one. They all come from Cardone or Fenton and are suspect in being quality rebuilds.
What’s amazing to me is how many people relay this problem to me, as a loose all over the place problem, and it’s the opposite, it’s tight.
Not that long ago I did a F-250 diesel with Moog ball joints. Customer complained it’s all over the road. I’m like I didn’t have to time to drive it before you got it, it’s a little tight.
He’s like it feels loose though? I go just drive it down some rough backroads 40-50 miles and it should be fine. He says I have to go to Chicago about 90-100 miles and the roads are rough, will that do it? I’m like oh yeah, let me know?
He called next day and said it’s fine.
The point is, it had to loosen up to drive correct.
It wears you out driving something with a memory steer.