Backward-compatible Xbox 360 games will still be available for purchase on the Xbox One and Xbox Series X|S stores, Microsoft says.
So no, presumably Microsoft just doesn’t want to deal with the tangle of close to 20-year-old code that holds up the Xbox 360’s store interfaces.
But you could do it, which would give it a use in remote areas with poor electrical service given the ubiquity of both USB power and the BL-4C battery.