I definitely used to run this on Wine (probably through Playonlinux) many years back, but I can’t remember if text ever looked fine, or if I just put up with it.
Anyway, tried it on my newer laptop just now and it shows up the same as yours. I think it’s the antialiasing (or shadow?) which is showing up solid white that is making it hard to read. I tried installing a fairly random selection of “winetricks” type things, but none made any difference.
You can slightly increase legibility by swapping the font - you can stick another font in the root folder renamed as “Comic Book Normal.ttf” and it’ll replace it - but it doesn’t solve the issue.
If you (or anyone) does solve it, it’d be good to know what the solution is.
p.s. I’ve got that menu song stuck in my head now.