Well a property manager who has the AirBNB listed in their name as the responsible party and gets the 1099 in their company name must report the income on their return and simply expense the portion going to the property owners ... this it just the way it is and it doesn't really matter as in the end the profit is on the bottom line.
Now if you don't like it then get it changed with the AirBNB so that they 1099 the owners directly.
And a CC processing company charges a fee for the service they provide in moving money from one place to another using trust accounts for banking functions ... it is not the same as your situation.
