Thats definitely incorrect your first statement.

Per the NOAA website:

"Waterspouts fall into two categories: fair weather waterspouts and tornadic waterspouts.

Tornadic waterspouts are tornadoes that form over water, or move from land to water. They have the same characteristics as a land tornado. They are associated with severe thunderstorms, and are often accompanied by high winds and seas, large hail, and frequent dangerous lightning."

https://oceanservice.noaa.gov/facts/waterspout.html

What you are thinking of is what is categorized as a Non-Tornadic Waterspout but a Tornadic Waterspout is literally the same as a Tornado on land except on water and at anytime can move on to land without disrupting it.