The type of argument you're describing is known as a false analogy. A false analogy occurs when an argument is based on misleading, superficial, or dissimilar comparisons between two things, suggesting that because they are alike in one way, they must be alike in other ways as well.
For example, if someone argues that "employees are like nails; just as you have to hammer nails to get them to go in, you have to threaten employees to get them to work hard," this is a false analogy because the comparison is not valid due to significant differences between employees and nails.
The other options you mentioned, such as homonym fallacy and false dichotomy, refer to different types of logical fallacies.
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