I disagree. I know that I can't read emotions well at all. That's a weakness, not a strength. I also know that I'm good at explaining math. That's a strength. Each list has items that are not on the others. I'd be inclined to agree that for almost everyone a proper list of strengths should have overlap with a proper list of weaknesses but that's a much weaker claim.
On Quora: What are some stupid things smart people do? Examples of common types of stupidity that are typical of otherwise very smart people.
Lee Semel's answer in particular would make a great post here: a "to don't" list. You may wish to go through and identify the cognitive bias or biases each is an example of.