Style Linking for Reverse Italics

Hello! I am currently working on a family that has both regular and reverse italics (inverted italics?). How can I properly link the styles?

The other complication is that there are two sets of each italic version (half slanted and fully slanted), so that the whole family is supposed to look something like this:

Light Half Italic
Light Half Reverse
Light Italic
Light Reverse
Regular Half Italic
Regular Half Reverse
Regular Italic
Regular Reverse (and so on).

While I can get it to work locally, when I try to test it in MyFonts validator, it gives me a style linking error. What would your solution be? Any suggestions appreciated!

I don’t think you can link the reverse italic.

Ouch! Hm, that’s unfortunate! Thanks!