man you start a lot of threads lol, j/k
1. for any given cob, the voltage is closely related to current and follows the curve given on the datasheet. so you dont really have the option of running a particular cob at high voltage/low current vs low voltage/high current
2. for cobs of a given series where multiple voltages are available, they can be the same number of dies and same layout (like cree cxb3590 in 36V and 72V). or they can be completely different chips (like Vero gen7 C vs D model). in the former case the chips will perform identically based on wattage (ie a 36V cxb @ 1400 mA acts identically to a 72V cxb@ 700 mA - both are about 48W and are equally bright, equally efficient, with the same heat load. in the latter case (vero), the C series has more dies and is more efficient at a given wattage - they are truly different chips
3. you can run chips as hard or soft as you want, and select another models if one doesnt operate well within your target range.
there are a bunch of reasons why you would choose to run one chip over another, or run a given chip harder or softer including: budget, electrical power cost, environment and hpw you deal with heat, budget, etc etc.