They would replace the pilot bearing, if it was still within warranty time, but they are under no obligation for any labor involved in changing a defective part or any damage a defective part may cause.
Shops may have a bit more clout with parts suppliers but I doubt any parts maker(they supply warranty, not parts stores) would pay for any labor or parts damaged by their part failing.
DIYer would have no clout
And it would basically come down to you saying part was defective and caused the damage, the Parts Maker saying it was installed incorrectly which is why it failed and why there was damage.
Hard to prove it was installed correctly, and thats what you have to do
You could have a Pro Mechanic with 50 years experience, or several, swear that the defective pilot bearing caused the damage, but all "they" need is one saying it didn't and was installed incorrectly.
"They" don't need to prove it was installed incorrectly, just that it "could have been"
Been down this road many years ago with a newly rebuilt engine and a defective new oil pump, yes had to redo crank and bearings
They did offer a new oil pump, lol, I passed