I think the above guidelines should be followed. But I still would like to point out, that in the Rossmann Store Sales prediction competition Jeremy talks about some outlier data points. The 3rd place winners didn’t notice it. But the first place winners realized that after and before store close, sales are unusually high. And since they don’t have the data for store closing, it can’t be modeled.
Summing up, I think removal is not going to harm you. If it is not time consuming you should do it.
Here is a post about best practices. The above point has been covered there with a link to the video where this topic was discussed.