“Interbeing” started to make a lot more sense to me when I realized it’s just another word for sunyata, or emptiness. In this way, “nothing has a separate self” = “everything is connected.” It’s just the negative/positive descriptions of the same idea (at least in English, emptiness does sort of carry a negative connotation). There is a flavor of Indra’s Net/interpenetration there as well. Where one could say “everything is dependent on something else,” this concept is a stronger statement that “everything is dependent on everything else." This I think works for some, and for others can feel like an overreach.

I listened to one talk with Thich Nhat Hanh where he equated non-self, emptiness, sunyata, and interbeing as essentially being the same, but then went on to note that interbeing may be the easiest way for his western audience to understand the concept. So he took something which in English carries extra negative connotation/baggage and translated it in a more palatable way.