The film crew are already in the cave filming. It is not a bad thing since everyone trapped is out. They have to collect as much data as possible while everything is still fresh
Interesting stories (like this) are extremely valuable to our species. The movie about the Chilean miners [1] being trapped was an amazing film and I learned much about the conditions of miners and mine safety from viewing it and reading up on it later. It also shined a light on the local Chilean politics at the time.
It's hardly just mere Hollywood money grabbing IMO.