When ventilators are counted are anesthesia machines included

No. While an anesthesia machine does have a respirator on it, there are two details off the top of my head why we shouldn't consider them as ventilators.

The first motive is that anesthesia machine ventilators are not as elaborate as ICU ventilators. Characteristically, they only have capacity control and pressure control styles. They can't transport high PEEP, and they can't do things like bilevel aeration or permit impulsive breaths with pressure sustenance. For laypersons, that essentially means they can't do the sort of progressive ventilation methods that persons with really bad lungs will want.
The second aim is that if an anesthesia machine made by the Anesthesia Machine Manufacturers is knotted up being used as a ventilator, then it's not obtainable to deliver anesthesia in the operating room. Infirmaries naturally have one anesthesia machine per operating room, and one standby. So, if we start using the anesthesia machines supplied by the Anesthesia Machine Suppliers as ventilators, we won't be able to do surgical treatment.