What is and isn't allowed in norms?

I've been contemplating posting this for a while but after a recent stretch of games figured I'd look to seek an answer to it. For the past few months or so I've decided to avoid ranked and started playing norms, as I figured it'd not only be easier but would allow me to relax while I deal with an insane work schedule. In about half of the games I've played so far, people have done what I consider to be "rule-breaking" to the point in which it's become rather tedious, with their excuse after telling them that I'm reporting them post-game being "it's norms bud, deal with it". My question is basically this: is rito's stance on rule-breakers lessened in norms as to what these people are suggesting? Or am I correct in asserting that my reports will be considered equal regardless of which mode I'm playing?