OK, electric motors are a slightly different kettle of fish to moptorcycle wiring. Although anyone who puts fish in their kettle is in for a nasty cup of tea.
Motors can actually be cooked by an under-voltage supply. The motor will draw as much current as it can, but won't spin fast enough (if it spins at all) for the cooling fan to be effective. It then gets hot and the insulation breaks down, causing short circuits in the windings, which draws more current which makes it hotter, which breaks down the insulation, which draws more current, etc ...
Starter motors are not particularly vulnerable to this sort of failure because they don't usually run long enough to overheat. If everything is OK, a quick stab of the starter button is all that's required.
However, a poor battery might have excessive voltage drop when cranking the engine so that there's not enough juice left to make a decent spark. If the engine is reluctant to start because of a weak spark, you could end up cranking on the starter motor for long enough for it to overheat. I suspect this is how my Jota's starter motor died a couple of years ago. The insulation in the stator windings broke down after a couple of months of difficult starting with an ageing battery.