Which of these definitions says about the lack of random patterns?
"Random pattern" is a misnomer, or an oxymoron. You may mean a randomly repeated pattern, or some pattern algorithm with random "mutations", like IadixDev's example with fractals. If it follows a pattern then it's not random
I would say that depends
That depends on one's frame of reference. You disagree with me because we are looking at the same thing from different levels. On your level, random patterns are a misnomer (which I basically agree with) but I only use this term to better get across my point. What I mean by random patterns should probably be properly called irregularities on their own. But these irregularities could be considered a pattern of randomness at the next logical level (see theory of logical types to better understand my idea)