I practice so-called "low magic" myself and have never heard of a circle cast on a piece of paper. My trad called it 'compassing' or a rose compass. And when used (rarely) it was actually drawn on the ground in flour, salt about 6' to 9' in diameter. Not sure what this piece of paper is, sounds 'sigil-like' to me however. Either that, or maybe he is just showing an example of how his circle looks when actually drawn out full-size.
Not sure if that helps you at all, but at least it may offer another viewpoint on 'circle' casting. I'm afraid ceremonial or 'high' magic isn't my thing.
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