I'm well aware of the fact that some Suzuki vehicles have ECU controller alternators, that's why I went to the trouble of qualifying the statement - not on this generation of the vehicle - I own a Suzuki with an ECU controlled alternator, in fact, one of the first generation of Suzukis to use such an alternator.
As far as the cart pushing the horse - if you have the evidence I'd love to see it - I'm always willing to learn something new - in case it hasn't occurred to you, I am quite familiar with the charge systems used on these vehicles and it is identical to that used on the carbureted versions of the vehicle (they do exist, just not in your part of the world) - when I say the ECU grounds have no impact on the charge system, it's because I know, from experience, that the charge systems will work, whether or not there is an ECU or an ECU ground.
The charge system is actually completely independent of the vehicle's other electrical systems requiring only a 12V source for excitation and that is taken from the ignition for convenience - you can spin that alternator with a belt from any rotating power source (for example a windmill) and it will charge a battery, no vehicle required - by the way - you can also use the ECU controlled alternators like this, in the absence of an ECU, they operate like any other alternator.
Kudos on the hero status - it's important - I have three daughters