No, you can not assume that it has higher pressure. You know what they say about assumptions? It works by using propellant of a higher energy density that is more progressive in it's rate of burn. Most "Superformance" ammo by Hornady has shown to be extremely accurate, certainly as good as match ammo of a few years ago.
Your second assumption is also false. The larger diameter bullet will have a lower sectional density at any given bullet weight and less bore friction and thus a higher MV at any given pressure-time curve. MV is more important to PBR than BC, all other things being equal. Because the longer bullet also has a longer shank, in addition to more bore friction, it will also have more air resistance for any given LoA of projectile. The fatter bullet has more mass in a shorter shank and thus a longer point for a higher form factor.
You are absolutely right in your third PP. both rounds have more than enough energy, but they do have different trajectories and PBRs. With the right bullet, in a longer BBL to have the same Expansion Ratio as the 6.5CM, I believe that the 25-06 will deliver more PBR and energy than the 6.5CM. You see burning more powder gets more energy and the optimum distribution of that energy over the range required by the target yields the best and longest PBR.
In your next PP, you do not like recoil and I agree with you, but differ on how to achieve that. A very long BBL, with huge break, or silencer if they are legal in your state and where you hunt when combined with a heavier rifle and a over size Remington recoil pad and a face shield to prevent break gas concussion from impacting the nasal and sinus cavities makes shooting my 300RUM Cannon a joy on the range and it will do things no lesser gun can.
Lastly, I agree with your last PP completely! Building or buying new guns is more fun than you can beat with a stick!