After playing with this some more, it seems like it does work, but can be inconsistent at times.
For reference, I have Velja installed on my system. It wasn't registering the intent it seemed from Orion iOS, so a handoff option was not showing up on the dock. It was showing up for every other iOS browser I have installed though.
I set Orion RC to be the default browser, and it seemed to be picking up the intent. I set my default back to Velja, and it seems like it will pick up the intent from Orion iOS now, but it can still be a bit inconsistent. If you open the Orion app, the handoff will show up briefly and then disappear from the dock. Switching to another tab brings back the handoff intent.
That said, since this seems to be an interaction via a "different browser" on the Mac side, not sure you'll want (or be able to) look in to that any.