Could that code have been P0562? Hopefully, you got a Yuasa YTX-24HL. Anyway, we've said it on here a million times. Before you replace a battery, you have to give it an activation charge with a battery charger. It takes close to 20 hours at 2 amps. Dealers and stores don't take the time to do that. If not, then your alternator is trying to run your Spyder and activate your battery at the same time right now. The 1330 alternator is usually up for that, but it would affect your troubleshooting. But, assuming that all of that was done, or will be done, your ground speed doesn't matter, it's your RPM. With your motor started up and warmed up, at 4000 RPM, your voltage at the battery terminals should be 13.5 - 14.5 VDC. Making sure that you have your meter set to DC volts, of course.
Historically, the fleet has had issues with the slipper clutch on the alternator drive shaft. At idle, if you aggressively blip the throttle, you would hear a disturbing squawking noise. Definitely something that would raise a concern to you that would be a new noise. It could be slipping at higher RPM, plus the ignition system alone is drawing more power. There's nothing regarding ground speed that I can think of that would draw an excessive amount of power. Otherwise, something else in the charging circuit perhaps, or inside the alternator itself. Just for the heck of it though, you could check Fuse F3 in the Left Side fuse box. That's left side as you're sitting on the bike.
Except for some other connection issue, such as a bad ground, they'll just have to go through your system and see what's what. Measure the alternator output current. It was time to replace that old battery, anyway. Good Luck.