[Quoth]

It might depend on WHICH Linux window manager you use and if you setup the Linux Mint Font thing under appearance (various options for DPI, rendering and "cleartype" stuff). Though WINE isn't Windows in a VM, it may utilise the Window manager differently, it's not even an emulator. It's not got any windows code. It translates Windows API calls to Linux. So I'm puzzled as to why a similar program running under WINE should "look better" than the same natively.

I have an old free version for Linux (native) of Eagle CAD, about ten years old. I have a slightly older version that has a Windows licence, so it can do bigger PCBs and multi-sheet schematics. The windows key doesn't work with the Linux version. Apparently never did.
They look identical. I can import the old libraries, and single page schematics into the slightly newer Linux version, but not the reverse.
Farnell bought it a while after my purchase and then sadly they sold it to Adobe.

Also years ago the Windows Calibre and Linux Calibre looked the same. Now my old windows is stuck on 3.48, but I only use it for games occasionally now.

I did have this laptop as dual boot on Win7 pro and Linux Mint for awhile. I saw nothing inferior about the Linux rendering and eventually wiped the NTFS and replaced it with Ext4 for Linux only.