For God's sake, it is a spoof!
Funny thing about spoofs: they are made to make fun of things, stories and cliches. So do not expect this movie to put forward intelligent questions.
That being said, I watched this movie for Peter Sellers mostly. It was a disappointment that he showed up almost half way through the movie and then was suddenly killed.
This movie was made in almost 12 million dollars; huge amount of money and was doomed from the start. Peter acted very unprofessionally and would not go to sets on week at end. There were 6 directors who ended up shooting and got fired for one reason or another. Peter refused to share screen with Orson and overall well it was a very bad production time. That is why when I watched the movie I went with zero expectations. There are some times, where you can see that crew and studio did put up an effort to make it legit but script had little problems here and there and overall it doesn't glue well together but nonetheless I enjoyed my time watching it and if you are a peter Sellers fan then it will be fun to see him acting in a romantic lead. :D something different.
Enjoy the 60s movie charm with silly charades. :)