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And the chips for free

...money for nothing

Yes, at least with the solid blocks of steel the Royal Mint historically used as dies, and to the degree shown on your coin. As to why, we shall never know without evidence. But people certainly do strange things to coins, for fun, as test- pieces, to re-purpose, to defraud , as art-work and as puzzles and many others. And the need to restore a coin bent or damaged due to agricultural activity often presents, in practice many detector found coins benefit from careful conservation to be acceptable to collectors. Jerry

It is almost certainly the strike and not post-mint damage. It's hard to tell from your pictures, but convex / concave farthhings are not unknown, especially given the size of the coin.

Few coins found with a detector are worth much more than scrap value - a few hoards over the year are always mind blowingly brilliant - but most single coins are in pretty dire straights

I often use a hardwood punch (piece of dowel) with a hammer to straighten coins I find metal detecting, and use a hardwood block with recesses of various sizes ( drilled using bits from 1/4 inch to 1 inch approx) to accommodate the un-evenness of the coin so I can work on a small area at a time. It is not difficult to imagine that a farthing, placed centrally over a recess so that it is supported by its edges, and then given a sharp tap or two using said punch might end up domed, without sustaining damage. The hardwood punch leaves no mark on my coins, even if annealed. I would say though that it is very difficult to strike a domed coin from flat dies. Jerry

Good, if they can sell this, more and more of the same must be offered by them in near future.

This photo is from their website, resident coin specialist Ken Payne, perhaps grading a coin? sorry Ken