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I think rigor is imposing to people when you try and combine it with high-level theory. The concepts in that article are built on top of so much theory, that to explain it all would require the equivalent of a course on analysis.

But if you supply rigor in an appropriate dose, it can really be eye-opening. For me, calculus was a nightmare because none of the terms used were well defined. I was just presented with all this highly developed theory and had to take much of it on faith. And I couldn't enjoy nor care about something I felt was just forced memorization of computational techniques for solving contrived problems. But if they'd done it rigorously, the classes would have begun with questions like "what is distance?", then answering that question would lead into "what is a space?", etc. This is rigor and I feel like exploring these types of questions is a lot more intuitive than forcing kids to memorize how to compute the volume of some cone.