I actually thought of the same thing a few years ago.
I do believe the higher voltage to the field coil will result in higher output from the alternator's stator.
However, the field coil's fixed resistance will also make it consume more current/power, robbing at least some of the output power gains. And I fear that the heat generated will damage the filed winding insulation. This later, and having a field coil that already shorted itself out due to fail winding insulation, made me less enthusiastic about implementation.
750 has a 6.8 ohm field coil, which consumes 1.8 amps (21.6 watts) with a 12 volt input, and 2.20 amps (33 watts) with a 15V input. Maybe need to add cooling fins to the field coil cover. I'd want to do some temperature testing.
I also decided that it wouldn't be a good thing to overwork the alternator field all the time, only during times when the load exceeded the generation capacity. This would necessitate some added circuitry, for regulation, switchover to the 12V.
Then, since I really didn't have a need for more power output, I worked on something else.
Cheers,