Howdy,
The alternator portion of a generator come in a few different flavors.
Of course the main one here would be a single phase. There is of course 3 phase as well.
There are 2 pole alternators which need to spin at 3600rpm to make 60Hz 240volts current. That is why so many small engine which run in the 3600rpm range are direct connected to the alternator. (no gearing) Then you have a 4 pole alternator which spins at 1800rpm. (more expensive, considered heavy duty, commercial grade) Which is why so many generators which are diesel, have 4 pole alternators attached.
PTO generators = have gearing, smaller units known as residential spin internally at 3600rpm. So that 540rpm pto needs gearing to get it to 3600rpm. The larger pto generators have 4 pole alternators and spin at 1800rpm. They still have gearing to get that 540rpm pto to 1800.
The main thing to consider is this. Anything running at 3600rpm is going to make noise. Think about a car on the highway doing 60mph in second gear. Its redlined and sounds like it going to blow up. Imagine driving across country like that. Will that engine make it? That is why the slower spinning engine and alternator will last longer. They are also more expensive. The only quiet generator spinning at 3600rpm is probably the Multiquip Whisperwatt 7000. Small diesel running at 3600rpm and alternator head at 3600rpm.
A PTO operated implement can be run at different speeds. A PTO Generator needs to spin at the proper speed to make that 60Hz 240volts.
You can take a look at this you tube video which shows them putting load on a smaller PTO generator. It lugs down the engine pretty good.
Small tractor with 15KW pto generator which spins at 3600rpm. So you have the tractor noise and the generator noise.