Are artesian wells the same as flowing wells?

https://www.sciencedirect.com/topics/earth-and-planetary-sciences/artesian-well
No!
The Michigan Department of Environmental Quality Water Bureau states that:
“In artesian wells, water rises within the well to a point above the top of the aquifer. If the water also rises above the ground surface, the well is called a “flowing well,” or “flowing artesian well.” All flowing wells are artesian, but not all artesian wells are flowing wells.”
For more information refer to:
Page 3 - FLOWING WELLHANDBOOK – March 2005
https://www.dec.ny.gov/docs/water_pdf/flowingwell.pdf

https://www.sciencedirect.com/topics/earth-and-planetary-sciences/artesian-well
Additional Resources:
https://support.boshart.com/can-a-pitless-adapter-be-used-in-an-artesian/flowing-well-application
https://support.boshart.com/do-you-have-well-packers-for-artesian-/-flowing-water-wells
https://support.boshart.com/do-you-have-well-caps-for-artesian-or-flowing-water-wells
https://support.boshart.com/do-you-have-well-caps-for-artesian-or-flowing-water-wells