ok - got it. But doesn't it look odd or unfinished to you without a hearth? To my eye, the black of the FP box needs anchoring visually, if not for practical reasons.

Do you own the home? If yes, I would consider hiring a contractor to cut out the wood floor and installing a slab of slate or something you love. If you don't own, consider a semi circle rug to butt up against the glass. It could be rather large so that the front legs of the chairs rest on the edge. That would look good, anchor the area and create the nice seating area you want.

Best.