Because such argument give a chance to everybody to make a critical comment on them. I spent plenty of time dealing with the issue of mind & computation. One of the best known arguments in this space of cognitive exercises is John Searle's "Chinese Room". But this argument is a remarkable collection of errors.
Searle claims that his argument proves that computers do not understand what they say (compute). I do not know why such argument would be needed: I never thought that computers do understand anything. People may say various things for various reasons, but there is no reason to believe that computers understand more than steam engines do. Searle claims that his argument proves this fact. But his argument is a collection of factual and logical errors.
First of all, Searle does not say what it means "to understand", and how we can know that some entities do understand. This omission is important because Searle's argument can be applied to the human brain in the same way as to the computer. If the argument were valid, it could be used to prove that people do not understand anything either. If people do not understand, then there is no understanding at all.
In terms of factual claims, the argument uses technical concepts in an imprecise and improper way. Searle does not differentiate entities such as "computer", "processor", "process", "program" and similar. The argument and its conclusion regard processor, but this concept does not even appear in the argument.
The argument attributes to the whole a conclusion (valid or not, the same) that regards only a part, which is a logical error. It speaks about processor (a part), not about the computer system (the whole), and it is logically wrong to apply the conclusion that regards a part to the whole. I do not claim that the whole (system) does know more than its parts do: I speak only about the logical error in the argument.
Besides the factual and logical errors, the argument is tautological, because it actually assumes what it claims it proves (that "computer" does not understand). In sum, Searle's Chinese Room argument deserves its fame as a remarkable collection of errors. It seems that these errors have contributed to the fame of this argument. To become famous, one must make plenty of charming errors.