I define continuous brew as take a little, replace a little.
The spigot does not define a continuous system.
In my system I don't remove the pellicle, and don't use a racking cane or spigot (I do have one on the bottling bucket but not on the fermentor).
People that have a 2gal crock, that bottle half, then pour in a new gallon are doing the same thing as people doing batches. I take 2L and replace 2L. There's no difference in my eyes.
So to me, it's the volume out/in and frequency that defines being "continuous".