Yes I see. Got it now.
My printer is a photo-quality Epson L805 (known, I believe, as EcoTank in some markets), black areas seem to be quite good, so I'll give it a try. The Linux driver, however, is, as usual, crippled, and it doesn't allow to choose the desired ink density or resolution directly, instead it has the "draft/standard/high" print quality settings, and, what makes the biggest difference, a choice of paper types, which apparently sets the resolution and ink density under the hood. It looks like the "Epson Ultra Glossy" setting produces the best quality prints even on matte paper. Go figure.
Btw, as far as the print medium goes, it shouldn't necessarily be a transparent film. This isn't my experience yet, I'm just telling what I read elsewhere: you can print on regular paper (of those that work well with ink jet printing) and soak it with olive oil before applying to the future PCB. Oil doesn't affect the ink (which I've tried and can confirm) and makes the paper transparent to UV. It will also help it to adhere well to the photoresist, so covering it additionally with glass may not be necessary.