Since I'm the one who brought up the theory in this thread earlier I'm taking this a little personally, so let me give you the reasons I linked the two. Note I did this during my first watch of the episode, these were instant associations, not something I desperately came up with after watching the episode to justify my clearly racist thought.
And mind you I'm not saying they're fact in the slightest. In fact it's not a theory I'm subscribing to anymore, it's a bit of a crackpot one for sure and people have brought up more compelling stuff in this thread, but that doesn't change that I think it's a reasonably enough connection for people to make within the realm of Twin Peaks theories.
I for one linked the two because of the fireplace connection, the apparent recognition by the woman when she touched Cooper's face, and I associated the shut eyes with Josie's appearance in the doorknob (and yes, I know it's quite different). The actress not being in it didn't mean much to me because I knew she wasn't in the cast list beforehand and have been expecting a recast, and yes while I noticed it was a Japanese actress instead of a Chinese one I thought such a decision wasn't outside of the realm of possibility because of Naido's role as a mostly silent character with a somewhat obscured face. It'd still strike me as a more elegant recast than Donna's in the past. And finally I figured the purple realm was a home of BOB of sorts at the same time, who is of course connected to Josie's demise (Engels notably said there were ideas to have BOB and Mike come from a planet made of creamed corn, so I instantly associated the spaceship with this).
Anyway, it was just a stupid theory, but I think I've given you your reasons one would link the two. I just don't appreciate these racism accusations over something as silly as this.