That has been the "classic" tyre rotation chart for very many years, and it works if you wish to to include your spare.
I I think the original chart came out with an attachment regarding termite treatment for the spokes.
When radial ply tyres first come out there was a recommendation not to include the spare but to move the tyres directly back and forth, no crossing over.
Anyhow, I really think it's up to the owner how he wants to do it.
As already pointed out, the space saver tyres indicate that it's not a big issue, and to confirm that further, my MB has different size wheels front and back plus a space saver. It would look bloody silly if you rotated them!
The most important thing to consider when rotating tyres on a 4x4 without a central diff, is to ensure that you don't create too much drive line wind up. This would be of more concern than the diffs compensating for a diameter discrepancy.
I don't include the spare on my JK but that is my decision, not my recommendation.
Also, I rotate mine on inspection or whether or not I am endeavoring to go on a long trip etc, not on kilometers.