Do you mean you don't like random changes due to chaos theory being applied (i.e. what "butterfly effect" actually means), or that you don't like causality? Because what
@WolfBear said is actually the latter: due to the different timeline, it's very unlikely that the parents of any child born later on are going to have sex the exact same moment as in OTL, and that the exact same sperm will find the exact same egg...
So even without the actual butterfly effect, simple causality means that any child born some significant interval after the POD is just by definition going to be different. An "ATL sibling" of the person that existed in OTL, rather than the exact same person.
(The more affected the parents are by the POD, the earlier this causal effect will reach them. If Something happens in Russia, then it may take some time before the causal effects reach America, for instance. But a few years down the line? You won't be able to realistically defend
any person born from then on being the same as in OTL.)