doing unpaid training (e-learning) at home for hoikuen job?

Hi, I’m an assistant daycare teacher (保育補助) and English teacher at a regular Japanese Hoikuen. A bit of background:

I started last year in another location as an English teacher and co-coordinator for the IB PYP program at that school, and did very minimal daycare assisting. They hired someone else to be the coordinator by the end of the year and no longer needed my help, so I was demoted…even though I did all the translation for this school to become an IB school (I’m still mad about this, and I feel like I should have quit before April when they demoted me but anyway that’s a story for another day)

I was also sent to another location, almost 1.5h away. There, I’m a full time daycare assistant (still teach English lessons too) and now have to do training so I can be with the kids alone. It’s mostly online.
I’m barely given any time to do the e-learning so I asked if I should do it at home (because apparently that’s what other teachers do), just to see what they’d say. And the due date is the end of this month.

Well, they said: as a company, they can’t TELL me to take it home but won’t refuse if I offer to do so if I want to or don’t have enough time otherwise.

This means on my own time. Unpaid.

So I would like to ask, is it common for hoikuen teachers to do unpaid training at home? This is hours of online videos, a few books, and some tests.

Thanks!