Five more days of weather after four months is not going to make a significant difference.
Five more days of animal traffic, ditto. If there has been animal activity, any remains will now be in such a state as to not be interesting to animals.
If TMH is the de facto suspect, I'm sure that LE is HOPING she goes out there. I cannot believe her movements are not being closely monitored. With GPS, etc, a human being doesn't even have to be within sight for monitoring to happen.
The big advantage to searching on weekends is that most of the SAR personnel are unpaid volunteers. Since most people work M-F, doing planned searches on weekends minimizes the amount of time SAR volunteers have to take off work. When dealing with volunteers for vital tasks, it's crucially important to minimize the financial impact and inconvenience of doing that task.
So many searches are emergencies and cannot be planned that it only makes sense to be as sensitive to various concerns and inconveniences for searches that are not emergencies. Burn your volunteers out and everyone in the public is a potential loser.