Right!
And "switching" kids is a throw back to the time when writing was done with a fountain pen and as a person wrote, they smudged the ink. School scissors until recently were very difficult to use if you were using your left hand.
I taught Kindergarten for 30 years and never ever tried to switch a child. Many children at age 4 or 5 have not decided on their handedness preference. If I saw that was the case I would watch carefully when the child was doing things that required coordination, report to the parents on what I thought and let them decide. But it is really important that small children decide their handedness, or they spend many frustrating years trying to do things and not having success. And being successful at tasks that are result oriented is very important for build self-esteem.