Are you complaining about the question, or their scientific method?
Everything, on so many levels!
We could discuss whether the scientific method can answer questions like "Is there a God?" or "How do I know that everyone else is conscious?". But we could also imagine a smaller example:
I wish to know what is the most beautiful guitar studio effect
scientifically. In order to do so, I will harness the scientific method most rigorously. I record samples of 58 renowned guitar players playing a variety of compositions. I put these on the internet and invite people to listen to them randomly, passed through one of 98 randomly-selected guitar effects. 1.6 million people respond to my request, and a clear winner appears - statistically significant! Science has answered the question, and allows me to build and market "The world's most beautiful guitar effect pedal". Not only that, but by rearranging my results I may also have in my possession the information to establish "The world's most beautiful chord change", "The world's most beautiful note" and "The world's most beautiful tempo".
Using similar methods, it is only a short step to finding the most beautiful musical composition, the funniest film, the best colour, and the luckiest number.
But... if I ran the test in 1998, I might get one answer, and if I ran it in 2016 I would get another. I haven't demonstrated that if I increased the number of effects to 102 that I wouldn't get a different answer. Or a different selection of guitarists and tunes. Or that if people listened at different volumes, or used different types of headphones, or did the test under laboratory conditions, or in winter rather than summer, or were offered monetary payment for participation in the experiment, or we demanded that listeners had musical qualifications or ... etc. etc.
Such an experiment may follow the scientific method
to the letter, but it is still rubbish. The problem is fundamental: asking people what is beautiful/emotional/heroic/calming/meaningful/humorous/spiritual/stimulating etc. is not science. All of those things are completely fluid and dependent on the context of the subject's entire life. Simple 'fashion' can give you your "statistical significance" and then a completely opposite answer a few months later. To think that we can pin down human taste/culture/emotion objectively is to think that we can understand and predict consciousness.