But why did you start this rollercoaster in the first place?
You must have been unhappy in the home you want to go back to, otherwise, you wouldn't have started the exchange process, and moved out?
If it was me, I'd take the opportunity to really think about what I really wanted, where I wanted to be, how I wanted my life to be. Maybe you can exchange the house you are in now, with someone else/somewhere else, that you would be happy with.
I would like to add that I do know someone who owned property, and was still offered a HAssociation apartment. It does happen, people fib, and not much checking is done.
You may be right, they may own property but regardless of that you maybe need to do a bit of soul searching and identify why you are unhappy and will move back to your original house, if it happens, fix this.