Someone let Stallman out of his cave again.

You are being paranoid. Wine is just calling your default web browser to open the link.

Sure thing, this outlines how to modify the ink carts: https://www.wikihow.com/Refill-Canon-Cartridges

And you can buy bulk printer ink for around $10 for all 3 colors+black on sites like amazon or ebay.

Printer ink. I got a cheap canon printer and drilled holes in the ink cartridges so I can refill them using generic ink for 1/1000th the cost of what the printer companies charge.