1.2kgs is doable, but for production boards they will need to be heavier or too many will break/warranty leading to a bad reputation or going broke, it would be bad business.
You could safely work off 450gsm cloth weight (3x150gsm in 0 +-45 triax) UD carbon top and bottom. 120x40cm board = .96sqm total laminate area top and bottom.
In reality you need more resin than the optimal 60/40 fibre/resin ratio so you get a perfect finish, no pinholes etc.... by using gelcoats, filler resin, or paint filler etc etc... so in reality it actually works out to be more resin than fibre by a considerable, variable amount depending on the construction -use of paint, gelcoat etc...
So the only way to get a board finished at 1.2kgs naked, strong enough for production is like SQ has done it using prepreg over nomex and little inserts and finboxes and no finishing work like paint.
But im sure SQ will agree, its pretty much impossible to sell them like this coz people want their boards to look pretty, let alone get a high price due to the expensive materials and heated molds. im sure he doesnt care what it looks like though, only how it rides