Browns center JC Tretter, president of the NFL Players Association, used livid language Monday in assessing the sequence.
"Obviously, Ronnie's going to get called for that," Tretter said, "but we can't have opposing coaches putting their hands on opposing players. We can't have that.
"We've seen rules be changed. I think a few years ago, we had an incident with the Bengals and Steelers, which led to coaches not being allowed on the field during injuries because something like this happened.
"It ramped everybody up and we had a few nasty plays because of it. The NFL's whole stance behind this change in the taunting rule was to avoid retaliation and avoid events that caused retaliation, so I expect that the coach gets held to the same standard, if not a higher standard, than Ronnie, being the first one in.
"Being a coach, putting his hands on an opposing player, I don't think there's any room for that in this league."
The Chiefs' coach seemed to go after the Browns' player, perhaps thinking Harrison stomped Edwards-Helaire. Stefanski said no stomping took place.
"I think any contact that came from Ronnie was incidental," Stefanski said. "It's pretty obvious he's getting collisioned as he's trying to get off their boundary.
"The game officials will always see the second guy, not the first guy. I talked to Ronnie about it. It's the oldest thing in football."
The ejection instantly changed Andy Reid's play calling.
As analyst Tony Romo put it when Kansas City made a big gain one play after the ejection, "They went after Harrison's replacement." Tyreek Hill gained 24 yards with M.J. Stewart newly in at defensive back.