The source describes adding eggshell to coffee as an old practice associated with reducing an unpleasant taste or helping grounds settle. That is a report of a tradition, not a controlled demonstration that the method improves every cup.
It also introduces an ingredient and a food-handling question that ordinary brewing does not require. There is little reason to turn a brief historical account into a general recommendation, particularly when it provides no validated preparation or comparison method.
If your coffee tastes harsh or carries too much sediment, investigate the brewing setup directly. Compare a suitable grind, a clean filter or press and a measured recipe before adding anything to the grounds. Ask whether the problem is the coffee's roast character or the way the cup was prepared. Understanding why a folk method was used can be interesting without assuming it is the most practical way to address the same complaint today.
The conversation
A good question can make a better brew.