Comment by mmooss

Total column line capacitance is impacted by the number of pixels hanging onto it as each transistor (going to the pixel capacitance) adds some parasitic capacitance of its own. Hope that answers your question. You are right in the sense that a part of the total column capacitance would depend on just the length and width of it, irrespective of the number of pixels hanging onto it.

I had back then developed what was perhaps the most sophisticated system-level model for display power, including refresh, illumination, etc., and it included all those terms for capacitance, a simplified transistor model, pixel model, etc.

I did not carefully distinguish pixel density vs. pixel count while writing my previous comments here, just to keep it simple. You can perhaps imagine that increasing display size without changing pixel count can lead to higher active pixel area percentage, which in turn would lead to better light generation/transmission/reflection efficiency. There are multiple initially counter-intuitive couplings like that. So it ultimately comes down to mathematical modeling, and the scaling laws / derivatives depend on the actual numbers chosen.

Addition:

Another important point -- Column line capacitances do not necessarily need full refresh going from one row of the pixels to the next, as the image would typically have vertical correlations. Not mentioning this is another simplification I made in my previous comments. My detailed power model included this as well -- so it could calculate energy spent for writing a specific image, a random image, a statistically typical image, etc.