Is subsidized tuition "benefits"?

The local college has courses for adults in the evening. These range from professional certifications in things like construction, to cooking/art/foreign language classes, to working out in a small group in their gym. Some classes are free, most cost a bit of money.

I signed up for a woodworking class that is advertised both as a Level 1 City and Guilds certification, but also a class just to take if you're interested in learning a fun hobby.

There was MUCH back and forth about my employment status, whether I'm looking for a job, my personal income, whether I'm on benefits, and when I plan to get a job. The answers are unemployed, I personally make nothing, I'm not on benefits, and yeah I plan to start working as a freelance artist again at some point.

They sent back an email saying I was enrolled, and because of my personal income, the class is free.

I'm worried that I'm now being offered a job searching benefit, which would go against my visa. If it were just a free class, then that would be one thing. But this class is listed as costing about £600, which I was planning to pay. I was trying to be very clear in my emails, without it sounding like I'm bragging or some super wealthy dilettante, that I'm not using this class as a career stepping stone, but I do think it would be valuable for my art.

On the other hand, there have been A LOT of emails back and forth already where they don't seem interested in any nuance, and don't seem to have "housewife/stay at home mom" on their radar. They also never asked for any information about household income: my personal income is £0, but my husband earns enough for our family right now.

Thoughts? Should I not look a gift horse in the mouth and take the free class? Should I insist that I need to pay, because I can't accept any benefits? I feel like that would confuse them, to be honest. Should I just not take the class?