You are spot on Neverforget01... The more I read the city manager's statement, the more unbelievable it becomes...
It is so odd that you can't read a single article or statement in this case without completely parsing each word against 10 other contradictory items...
Exactly the delay in the search certainly looks to match a confused, unreliable witness.
The police are acting defensively about this because they don't want said to not have taken her seriously. I think they did take her seriously, but just found her not believeable.