I got the bag but next flight will ditch the bag for just the carry straps(if I can find them to buy) since we bring it on board and use it.
I had it in the bag over my shoulder.DD on my back in the Patapum. DS in an umbrella stroller and the diaper bag and purse over the handles. That was after I checked my luggage though. I had DH to help me out until security.
Its a total PITA to get it back in the bag after the flight is over. The first flight was a turn around and a flight attendant and I struggled to get it in the bag.There is only one way to get it and it even then its a tight fit.
The open side of the Radian goes facing the writing on the bag if I recall. And you really have to work hard to get it folded well. I just ended up undoing the harness to get it folded as small as possible.
She even asked the cleaning crew to help then a employee grabbed it and my stroller and pushed it to the baggage claim area since we were holding things up
So if you plan on checking it use the bag otherwise just use the straps.