Randomness can be clumpy, but clumpiness does not have to be random. Clumpiness is typically causal. Your experiment won't tell you what you need to know.
"repeated number 2 out of 5 on a dice" vs. "repeated brain tumour out of infinite other things that can happen in dynamic system you don't even know all the parts" rly?
run an RNG that doesn't quantize to an integer and see how many repeats you get then:)
it also sneaks in a hideen assumption "cancer is random" in a way that tries to avoid a "citation needed". I hate those sorts of comments, worse than propaganda (at least that one obvious)