Burn to learn / learn to burn
According to the Deluxe edition, only the buildings that were closed that turn by the Renovation Company will generate income.
Here's the example given:
Molly has activated her Renovation Company and chosen to close Cheese Factories for renovation. Molly doesn't have any Cheese Factories, but Nate had 3 copies and Jerry has 2. Molly receives 3 coins from Nate and 2 coins from Jerry, and all of their Cheese Factories are closed for Renovation.
This is technically still ambiguous, because it doesn't say if Nate or Jerry have any other buildings that were already closed, but I agree with your interpretation.