Battery chargers like these
View attachment 307601 are so cheap at around £15 and charge at 3.8 or 5 amp using stage charging it is hardly worth using the 12 volt output from the generator. The problem is under around 7.5 volt they see the battery as 6 volt, so only way to charge a completely discharged battery is to connect it in parallel to a good one.
I use something like this
View attachment 307604at work, but other than when used to jump start, within ¼ hour the charge rate has dropped to nearly the same as the cheap chargers, so in the main the cheap Lidi charger would do same job.