Sometimes they adapt one pair of receivers better, or worse, than another.
I have a large hole upper that adapts and opens and closes great to one lower. But for reasons I don't recall I couldn't use it forever on that lower (one of my NoDak Spud retro lowers maybe). So I put together one of my other lowers. There is just enough subtle, manufacturing difference that the two receivers don't close as tightly and the two will not pivot open. To open that gun now I have to punch out both pins. It's still my favorite carbine, a lightweight XM177type clone on an A2 lower, but it does have this little inconvenience about it.
So the adapter bushing/pin may work great for you, or it may not. You won't know until you give it a try.