Have been waiting to see this for a while. As a lover of classical pugilism I wouldn't say this was anywhere near actual bareknuckle pugilism - pretty much modern boxing minus gloves, which is v different. To make it relevant you'd need to fight with throws allowed - and trained by the fighters - which would make it look a lot more like the UFC but without the tedious groundfighting.
Plus - a square 'scratch' to 'come up to'
Plus - a kneeman and bottle holder
Plus - shirtless with breeches and spiked shoes on turf.
Plus - a much longer guard to deter closing and throwing
Plus - blocking punches with the elbow/head to break the opponent's hands
Plus - the 'chopper'!
Plus - Chancery - i.e. holding they guy's head under your arm and punching him in the face (or by the hair).