I have Linux Mint on my Laptop and Windows 10 on my Desktop, whenever I copy a NSP file to the SD Card on Mint I cant't install it 'cause it gets corrupted (white icon, install failed). It never happens on Windows 10.

So you don't have any problems copying files, in this case NSP files with Mint? Good to know...I use mint and mine works perfectly when I eject the SD card.
It happens on a 32GB Sandisk and the 128GB Silicon Power I hace, also with a USB SD card reader and a SD Card reader...only on Mint not Windows 10....Mint copy the files, I eject and I get .TRASH files, the NSP doesn't have an icon and doesn't install on SX OS or Tinfoil, I did a fresh Mint install with a new SSD and it does it...maybe it's my laptop? At least I know it's not Mint per se.Sounds like either a faulty/fake SD card or a cheap dongle to connect it to pc. Also, I've heard issues with SX OS installer. Have you tried installing with Tinfoil?