I would contact suzuki, tell them the story.
I'd wait a few days and see if they contact me with any offers, if not, contact them again and say "i'm worried my charging system or battery will have a shortened lifespan,
so I'm considering returning the bike for a refund, unless I get a brand new
battery and free break in service. If not I will be returning my bike
exactly on such and such date" or ask for a free extended warranty.
If you thnk about it, they'd rather kick out something than take that 1st bike depreciation having to sell it as used.. and they'd rather keep a happy
customer, so it'd be in their best interest to offer you something.
As a shop owner, I am prepared to do something like this anytime there is a problem.