could i use my exact device entropy details that was used to generate the private key through bitcoin core in 2011 or 2012
No. The entropy your device generates should not be deterministic for you to reproduce it if you could find some "specs" otherwise it would not be safe to begin with.
THIS IS NOT TRUE! if on btc address are spent transactions , and you have remaining of the WIF characters, you can solve very quickly.
I have tested:) I can help
Then why aren't you "quickly" solving the famous puzzle to claim the reward? The search space for the key there is smaller than the search space OP has.