Would You Pay A Premium For Attractive, But Looped Gold?

Only if it was going to be worn as jewelry.

The British coin would exhibit far more damage if the loop was removed. I would loose more than half of it's numismatic value (with condition in mind), above the spot gold price.

I would not buy either of them with the loop remaining in place.

Only if they were done properly. The British coin has too much solder, the ring isn't closed properly and it is off-centre, on top of that it needs a bail for the chain or this is simply a charm made for a bracelet. The Irani coin's bail is off-centre and crooked and looks like it may snap with prolonged wear because the coin's edges were left as they were, leaving insufficient contact between the coin and the bail - but I may need a closer look.

It's too risky to do this with coins because if you mess it up you reduce it to scrap. Coin bezels are the best way as they do not damage the face of the coin and you can release the coin without too much fuss. At least these coins don't have holes in them - that's the lazy way to do it. Too bad because the back side of the Irani coin is quite beautiful. These are scrap - no premium, and because of the amount of solder used it may not be up to karat anymore. Sel is correct, in that removing the ring does not remove the globs of solder, and you will damage the coin further if you try to remove the solder.