Classical ether theory explains the Fizeau experiment

Regardless of the fact that A. Michelson and E. Morley explained the Fizeau Experiment in a very simple classical way, this experiment is sometimes used to demonstrate the validity of special theory of relativity[4]. Because some other experiments show that Doppler effect, which is generated within moving Medium, influence the average speed of light, it could be rather interpreted as an argument against special theory of relativity. [...]