The Anomaly that is Man

[Mudhammam]

Are you a privileged individual because no one else has ever experienced 13.6123245356653 billion years post big bang before you?

I fail to see much relevancy in the larger portion of your post, but yes, considering the relatively recent trends in evolution, I do think that we are more privileged than our ancestors or other animals for the simple fact that we're granted far more access to knowledge of ourselves and our environment and can use it for immense good or immense harm (a distinction that itself can only be made by us). In my view, we're not privileged because God conceived us this way; we're privileged because natural selection made us able to conceive God. If humans are still around in 1,000 years, and thriving, they will probably be justified in feeling privileged beyond anything we're currently able to apprehend.