my bet is they will approve coverage for the phaser alone, not the parts list from the ssm which included cams, possibly the timing chain. This is the business model these companies use to make money. Be prepared for a settlement offer.
It’s not always; ex.: you have a catastrophic failure on a pristine, bone stock vehicle with zero mitigating factors. They likely delay, but cover. Here, i don’t know how stock your truck is, but, you can bet they’re angling to have reduced coverage here.
You should insist that the mechanic working on the vehicle be a certified Ford tech - other certifications notwithstanding.
The reality is this isn’t rocket science, but every engine has its intricacies and you don’t want something stupid happening because the tech working on the truck was not familiar.