In southern Europe this is false for many weeks during the summer. During heatwaves you want to open all the windows during the night, and close everything at 9ish-10. Because the temperature outside is going to rise to 40-45 celsius the ambient air will only heat your house, even drafts will feel burning hot. So not just shutters, but glass windows and curtains too,
Then about 8 hours later, you want to open everything back up and wash your balcony or terrace (evaporative cooling it essentially), you want to use a minimum amount of water, that will evaporate in the next 30-40 minutes because it attracts mosquitos.
But overall air conditioning is the way to go.