What was your front psi when still a bit of wobble? I've read most people don't have such a low psi in front, even though that is what manual states. I put 34 psi.
Was it your steering head bearing or perhaps your steering head nut was not tight enough prior?
I don't recall the original bridgestone tires having a wobble. That be the first 8,000 kms or so.
Never checked OEM head bearing torque. Just went straight to the rollers.
Wrecked the head nut using a flat end chisel to remove/tighten.
Bought a 43-45 mm bicycle wrench, cut in half to use with fairing in place.
Think part of issue was roller bearings not fully seated. The bicycle wrench worked real good with a new nut.
Have replaced fork springs with stiffer Racetech, max preload too. Maybe a touch too much.
That's a big tire up front, so not surprised Kawasaki has a low fill pressure. Just thought to go back to stock pressure and see how it goes.
Do mostly two up riding with full camping gear, so close to GVWR.
Front is good now. it's sweeper dips that brings wobble lurking...