How do I identify if my EarPods lightning are original?
The screenshots you have are identical to ones I have seen before with third party (non-original) minijack-to-Lightning adapters.
The EarPods that comes with an iPhone matches the iPhone. Therefore if you have an iPhone with just a Lightning connector, then your EarPods should have had a Lightning plug and not require an adapter.
This seems to indicate that the EarPods you have did not originally come with that iPhone. Whether they are are original or not is hard to say from the information given - it might be original EarPods with a non-original minijack to Lightning converter.