How does cid make power?

Your logic in this endeavor has been wildly inconsistent.

The question was does CID make horsepower. The answer is absolutely.
The secondary question is whether a comparable engine with more CID will make more HP, and the answer is still absolutely.
The tertiary questions is whether the larger engine will make more PEAK HP, and that's a lot more complex because flow will dictate the rpm range for both, and the answer would depend on WHAT RPM you want the power compared at.
The quaternary question is whether it makes financial sense to increase the CID for more power, and the answer is again complex. If you have a bad-*** top end, then yes - make more CID. If your 273 peaks at 4500 rpm, you probably need to open your wallet for a better set of heads first.

There is no blanket answer for whether CID makes HP in ALL cases because that game is too easy to rig. At what RPM? What is the goal? Where is the torque needed?

A bigger bore wins in every case, but that's physically constrained by the engine design (bore centers). Stroke is the only other way to increase CID once bore is maxed out - but the question isn't about stroking vs boring, it's CID vs CID - and in general more is better unless there's other factors crippling the performance already. If the CID of a PERFORMANCE engine is increased and power doesn't increase, then something else (tight wallet) is holding the engine back - not the CID.

Let's attack this from a different angle, with torque everyone knows it's heavily related to displacement but top end does have some impact like with ve%, efficiency like from chamber shape etc.. The size of the cylinder has the biggest effect why we know a 440 will make more torque than a 273 100% of the time without any other info but with hp you'd need know whats done to these engines.
Cause yes displacement has an effect on hp but it's airflow and how high of an rpm the airflow will carry matters more.

So does say two engine same bore different displacement with same or similar level of top end heads cam etc.. Does the larger displacement always come out on top when laying power curves on top of one another? And if does why how?
Cause if displacement wins every time what is stopping the smaller engine turning enough rpms to make up the difference?