No it doesn't, because when we talk about organics vs synthetics we are not talking about a wrestling match between Bob the Organic and Jim the Synthetic. We are talking about this threat of Synthetics wiping all Organic life in the Universe. Hence the Reapers and their cycles.
Parent/child conflict is all over the place, yes, but it's not synthetic vs organic conflict. it's parent vs child. Specific parent vs specific child. Not children vs all adults.
These conflicts are not a threat to the organic life as we know it. Be it organic parent vs organic child or organic parent vs synthetic child.
I'm yet to find this "we are synthetics you are organics - therefore you must die" kind of conflict.. oh wait - the reapers. The ones that were supposed to prevent it. Irony.