Now, why would a 2015 f150 use the 265, and the 2018 uses the 245? Is that to give the engine more power?
I'm going to presume you're not serious about the "power" question? Tires don't give "power" to anything. "Power" is defined as work per unit of time.
Tire size affects the thrust force at the road surface; the size affects the radius of the torque arm represented by the wheel/tire/axle relationship. Given that a fixed amount of torque comes at any single moment from the axle (drivetrain), then the larger the tire, the less thrust it can translate to the road surface.
T= F x D (torque is a product of the applied force multiplied by the vector distance relative to the axis of rotation)
When the product is a fixed value, then the two contributing elements are inversely proportional in relation.
If torque were the fixed value, then doubling the distance would halve the force.
So a larger tire actually produces less forward thrust (force) at the road surface, all other things being constant.
Road surface velocity is also affected by tire size, but in the opposite sense. Presuming enough torque is present to create sufficient minimum required thrust, then the relative road velocity will increase with an accompanying increase in the size of the tire.
Ya can't cheat the laws of physics!