^ I do agree with you for the most part about not going thru a bunch of hassle to purge air from the cooling system, especially on a new vehicle. However, it does state in the FSM that once the engine has reached nominal operating temp to set the temp control knob to the highest setting then to run the engine at 2k-3k rpm for several seconds to help push air from the system. This is to make sure the heater core is purged of air as well as the rest of the system. Afterwards, to keep an eye on the level & top off as necessary. It even states to turn the heater control to high before draining the system. You don't necessarily have to turn the fan control knob to the high setting as this only controls the air flow coming from the vents & has nothing to do with coolant going thru the heater core itself. I think that's where quite a few people get confused.
Saying that the front of the vehicle needs to be elevated & having the heater on high is a "bunch of lies", might be a bit on the overkill side in & of itself. Both techniques have their merits & certainly don't make the situation any worse than it already is. I believe everyone, including both you & I, are simply passing on their knowledge &/or past experience in what worked in solving an issue they or someone else might have had. Don't you agree?
I think what might be a better plan is taking the OPs issues in stages. Try, what you & I have suggested, filling the reservoir & driving for awhile then relieving the air from it periodically. If that doesn't solve it then try putting the truck on ramps & running it with the reservoir cap off. If it still doesn't solve the issue then try the ramp, the funnel, & anything else that may help. And if for some reason none of that takes care of the issue, then there's definitely more going on than any of us first thought.