Assume two cartridges one of low output ( less than 0.4 mv) and the other of high output (>1.5 mv) having identical styli shapes. The lowest signal/noise generated from the stylus/ LP surface will be the same for both. The cartridge with the higher output will therefore have a superior signal/noise ratio. Once this is established all the subsequent amplifying chain will only make this worse.
Question: Is it therefore better to have the higher output cartridge for the optimum signal/noise ratio?