To optimize cell to maximize AH for size and weight you build cell with thick electrodes (graphite for neg anode, LFP for positive cathode). Disadvantage of this is the thicker electrodes increase the overpotential voltage drop at higher cell current, making the cell have a lower maximum current capability due to increased cell voltage slump at high current.
To optimize for high current performance, you build a cell with many thin layers of electrodes. This means more metal foil layers that takes up room so there is a bit less AH's for same size cell. But you get lower cell impedance giving a higher peak current capability on cell.
The above is analogous to deep cycle vs. starter lead acid batteries... deep cycle have thick plates and can better handle deep cycles.
Starter batteries have multiple thinner plates for higher current.
There is a limit on how thick the electrode can be and roll it up into a cylindrical form factor without electrode cracking.
Other advantage of the cylindrical form is you have better heat dissipation to outside of cell which is also something you want for high current capable cells.
I'm going to disagree and say this is dependent on the actual geometry of "identical" cells. "identical" in terms of capacity, IR and C rate.
Case in point... NiMH "D" cells vs. thin prismatic cells of same height, but about 40% thickness. 6.5Ah, 1mΩ, 20C. Same manufacturer (Panasonic EV Energy, Primearth EV Energy).
The "D" cells exhibited horrific cooling characteristics due to their substantially 2X thickness, and lower surface to volume ratio. Essentially, cooling ability is proportional to the center to cooling surface distance and ratio of volume to total cooling area. Cylindrical cells are also an aerodynamics nightmare for forced convective cooling.
As evidenced by hundreds of thousands of Honda hybrids vs. even more Toyota hybrids. Hondas had dramatically higher failure rates with some models as high as 16-30% in 4-7 years where prismatic failures were in the low single digits in the same timeframe.
It's worth noting that the battery cooling fans of the Hondas were like leaf blowers, and the cooling fan of a Toyota is like a hairdryer on cool. Dramatically higher CFM in the Hondas.
In the extreme cases (30%), this was predominantly due to a completely asinine cooling system design change that created 132 hot spots within the pack (one per cell). At the lower end (16%), these were NOT the result of cooling system design issues, but attributable to the cells running at a higher core temperature with a large thermal gradient from center to surface. This gradient also contributed to degradation and failure.
If you look at what is typical of the existing cylindrical (low capacity) vs. prismatic cells (notably higher capacity), cylindrical may cool better simply due to their smaller size with higher surface area to volume ratio, but you're going to need more cells. Same for same, I do not agree that two LFP cells with identical performance specs will see better cooling performance for cylindrical vs. prismatic.