Since no one else here will tell you what you wanted to know, it's up to me.
Given the same manufacturer, the same stylus shape and cantilever design, a low output MC should always perform better than a high output MC, leaving out any possible effects from amplifying or stepping up the voltage from the low output. The reason is simple physics - the coils on the end of the cantilever are far smaller and much lighter, due to less turns of wire, and so the stylus has a much easier job of moving them, because of less inertia. That means that the LOMC should always track better and sound better than HOMC cartridges, because of the lower moving mass. Winding those small coils does increase the price, as they are often hand wound, and there is the disadvantage that the voltage needs to be raised more - it's often about a tenth of the output of HOMC cartridges. If you can afford it, and have a suitable step up transformer, head amp, or MC phono stage, then I'd recommend a LOMC in preference to a HOMC.
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Another disadvantage of LOMC cartridges is often weight - to counteract the much smaller coils, in an attempt to keep voltage up, most makers use much larger fixed magnets in their LOMC designs, which means they are usually heavier than either HOMC or MM cartridges. But if you look at the range of cartridges produced by manufacturers who produce HOMC and LOMC models (eg Denon and Ortofon), the LOMC models are usually always the best, and have the widest frequency response, because of the much lower moving mass (stylus, cantilever and coils). They are also better than the best MM/MI models, for the same reason.
I own plenty of cartridges, including a number which were the best in the relevant class that the manufacturer made, including MM, MI and LOMC, and if I had to choose the most accurate and best sounding, I'd happily leave the MM/MI models to others, and choose a LOMC.
-Don
