I would say no. The game and box are identical. I believe the slip cover isn’t even console specific (though I’m still waiting for mine cus here in the UK the game and slip have been sent separately).
So I would put the slip as an extra media
You are correct, the slip cover is not console specific beyond maybe a size difference. Here's some scans of what would be the kickstarter variant
https://1drv.ms/u/s!Ah278XixSTxogYMfHV8Ds-0rHxq4Yg?e=pRI4Fn