Hello, 
Imagine somebody looking at the OSM standard map, at this feature, a café.  When closed is added it informs folk that this facility that was once there is no longer available. I cannot see it causes any problems, in fact it informs therefore adding information relevant to the item in question. 
When you do what you have done, this information is not available.  It’s particularly important these days for example where pubs are in the constantly opening – closing - under new management scenario. 
  If the object is not rendered it is useless, is it not? 