It's not off-topic, it's directly about the subject you're discussing, anyway, it doesn't matter what's older. It's the same principle and this idea is hyper-nationalist and kind of impossible to manage in modern times. Is the reverse also true, do you not want anyone that isn't fully ethnically Serbian to represent Serbia? Should the Roma admixture players go represent India? Your idea is less about nation states and completely based on ethnicity, that is not how people today represent countries. Champions Italy NT had a Nigerian player, a Russian player, a German player and the majority wasn't even naturalized...
What we consider to be Turkish or Serbian or anything else in the international stage are people born within the borders of these states or sometimes when the parents were born within the borders, this isn't based on my opinion or what I feel (cause I personally don't even identify with the idea lol) but simple facts. Anything other than that is not relevant and leaves endless hypocritical loopholes that we can discuss but they still won't matter.
But if you take ethnicity out of story, than there is no connection between Bosnia and Turkiye. Than is the same if Vakif make camps in Cuba