Although I haven't tried the fiat boot liner I would say not. I've been experimenting with the boot floor and actually not much makes a difference - got a close fitting sheet of 12mm MDF in there sandwiched between felt at the mo, no different to without. Most the noise in the car is sourced from the rear wheel arches IMO.
Can't say that I have noticed any difference in sound levels since fitting mine, but it is useful, already caught a spillage that would have ruined the carpet.