Can’t speak for the Boomerang III. Perhaps a Rang user can share their thoughts . . . .
For the Infinity, as long as you have the latest firmware versions installed on both the BeatBuddy and the looper, you should be okay. Singular Sound has worked with Pigtronix to sort out most of the issues and there’s a thread on this forum to that effect.
That being said, just because it works today does not mean that a future firmware update won’t cause a temporary hiccup. As soon as you identify the issue on the forum, Singular Sound will try to resolve it. If they have to work with Pigtronix, sometimes it takes a little longer but it usually all works out in the end.