Most internal arcs can be cut with a boring tool.
The video presumes that you have a central hole for the axle which is not always true. Putting a 2" fillet on a n 8" x 8" workpiece would be difficult. Cutting an arced slot would not be possible.
Before I got my RT, I cut arced slots for a product we made with a custom jig, using lead screw to rotate the part but is was not conducive to general use. The DRO on my old mill has a program for cutting arcs by a step and cut method. You could specify the deviation from the true surface which determined how many cuts needed to be made. I usually settled on something like twenty to fifty steps. The process was tedious and slow and prone to errors if you didn't pay attention to the order of operations. You could also cut an arc by a series of intersecting plunge cuts with an end mill. With a little care, you could get an arc that required very little hand work.