Are you referring to this part of the parent comment? "Old building sized computers often supported multiple organizations via time sharing etc."
I worked at Tymshare in the early 1970s, and I can assure you that we supported many simultaneous users and organizations who dialed into our Tymnet nodes with their Teletypes and other terminals to connect to our building sized computers. That was the whole point of the company, and the very thing it was named after.