No. of Recommendations: 6
In either case, Biden should think about suspending it entirely. He can do that in his capacity as Commander-in-Chief.
No, he can't. Again, the asylum process was created by Congress. The President can't just decide not to follow the laws just because he's also the Commander-in-Chief. If an asylee files an asylum request, and the Administration says "We're not going to follow the law because the President controls the military and says we don't have to," the courts will simply order them to follow the asylum laws.
The President isn't a king. He has to follow the laws, and his Executive Orders (and commands to the military) have to be consistent with the laws.