I've added your suggested test to the blog post: https://andrewmayne.com/2023/11/14/is-the-reversal-curse-rea...
Spoiler: It doesn't say "Tom Cruise."
Spoiler: It doesn't say "Tom Cruise."
I'm thinking this might work because "equals" is always logically reversible whereas "is" is not, assuming the statements are technically truthful.