Agreed.
Even if I am wrong, it is clear that these European operations pull in lots of money and constitute the lion's share of what is being reported as "rental income."
I am sorry, it is not clear that European operations constitute the lion's share. It may, but we have no way of knowing.
The cynical answer would be that RCI doesn't want anyone to find out how much is being made from their rentals of deposits, the rental of developer inventory, switches between developer inventory and deposits (with the deposites then rented), and properties acquired via trades with other exchange companies (they do all of this) and there is probably some truth to this cynical response.
My premise is to not take a cynical view. I choose to believe them.
However, if you understand how corporations are usually organized (various divisions with each division financially accountable for its own turf), it is also probably true that the entities listed under Vacation Rentals (the European outfits) are placed under one corporate executive who is responsible for making that division profitable and another corporate executive is responsible for making the exchange part of the operations profitable. As such, the rentals that TUGGERs are upset with would fall under the purview of the latter executive and any financal transactions (the ones that TUGGERs don't like) would be part of his division and subsummed in that part of the financial reporting.
I do understand how corporations are organized.
Your entire premise is that these are European revenues aligned with a European executive. However, the corporate reporting structure places them under Group RCI, which is reporting rental revenue apart from membership and exchange fees.
To suggest that the rentals in question are being reported under membership and exchange fees is to say that there are irregularities in the financials, and their representation to the financial community.
A former chief executive of this company is serving time in prison for misrepresenting its financials. I don't believe they are foolish enough to repeat that mistake.