I thought these days you don't cross because it's important to keep the same direction of spin for the life of the tire.

Okay my "always" qualifier was overzealous, but ...

Since 2020, about 9 percent of the cars tested by Consumer Reports have come with a full-sized spare. Studying our database, we found that 46 percent came with a temporary (aka space-saver) spare tire, and the rest were equipped with a sealant kit (34 percent), a run-flat tire (7 percent), or nothing at all (4 percent).

https://www.consumerreports.org/cars/tires/some-newer-cars-are-missing-a-spare-tire-a9928775934/

And I'm betting that if you could find stats that broke that down by AWD, it'd be even smaller since I expected the correlation of full-size spares is more toward pickups and 4x4s. Further, I'd bet that most people with full-size spares leave it out of the rotation anyway because many (most?) don't have a cosmetic hub cap and becomes an eye sore.