That is precisely the argument made in Agence France Presse v Morel [0], cited in the article I linked to. One of the statements to come out of that rather drawn out and complicated case is:

> plainly sufficient for the jury to conclude that AFP’s infringement was willful under either an actual knowledge or reckless disregard theory

Assuming that you would be covered under fair use, is a "reckless disregard" for theory if you comprehend the copyright situation at all. These things are very, very, complicated and you cannot simply assume that you have the safety to copy a tweet.

[0] https://www.loeb.com/en/insights/publications/2014/08/agence...