The site-wide search box on your HomeRunner site does not apply the day-of-week check-in restrictions you set in Guesty. If a guest enters a restricted day, they see no results.
Why this happens. The site-wide search queries across all properties at once and is not tied to any single listing’s calendar, so it cannot apply per-listing weekday arrival or departure rules. The per-listing availability calendar on each property page does apply these rules correctly.
What you can do. If all your properties share the same changeover days, the most reliable approach is to direct guests to browse properties and choose dates on the property page.