I don't have through breeze--windows only on one side of the condo--and even with a very good ventilation system, I've had two guests mention that the cooking smell from the previous guests made them feel ill. One mentioned it to me in person and another actually mentioned it in the review, albeit in the private section. On the worst occasion, I opened the windows for several hours, put pots of baking soda and bowls of vinegar out, used Febreeze, you name it. I did everything I could, but the smell was still there when my guests arrived in the evening (so I had several hours to deal with it).
In this last incident, it was a bit better, but again, I left the windows open for hours. I am in Montreal where the temperatures are very cold. I've noticed that the cold means opening windows is less efficient--the place cools down considerably, but the smells still linger when the temperatures are below zero. I've also got to be conscious of the possibility of freezing pipes.
I'm just considering putting a small sign up in the kitchen asking those who cook with strong spices to refrain for the last 24 hours they are in the place. I think that is reasonable. That said, I have a hard time believing that these last guests didn't understand that their meal would give off an odour. They asked to stay two hours longer and then cooked that meal during that time period. When both my cleaning person and I walked in, the smell was very strong and we worked together to get the smell out. Living in a cold climate makes a difference...people want to feel snug in their place, which means they are reliant on good recycled air. Even with a good ventilation system, it's hard to deal with some smells.