Lincoln specific was in the context of similar Ford vehicles (MKC vs Escape, MKZ vs. Fusion, Navigator vs Expedition, etc.). Fords would get the 2.0L eB while Lincoln gets the 2.3L.
Since Mustang is a performance vehicle and doesn't compete directly with other Lincoln vehicles it makes sense to give it the new engine. Same for F150.
I also expect there to be a 2.7L EB option for MKC and the 2.3L becomes the base engine. And a hybrid option. But none of that is confirmed.