I use the calendar widget embedded on my website for my property. When any website visitor views this calendar, they can see when there is a turnover, and when there are days when the house is not booked. Essentially when the property is empty. This can be a security risk, and also lead to confusion when a prospective guest tries to book. My request is to automatically show any unavailable day (based on minimum nights rules and on same day turnover) as unavailable.
Here is the view of my calender for this month (note that my minimum nights is 2; ignore the calendar sync issue for the first 5 days of November).
The desired view for website visitors would be more like Airbnb's view where unavailable days are simply shown as unavailable, as shown in the following view. Note the difference in display of the 13th, 14th, and 24th of the month.