Whether the numbers are better or not is arguable, what is clear is that it is long overdue to have a policy and stick to it.
Most of us will have found ourselves waiting in the check in queue whilst the couple at the front load their 8 various packages and parcels on the belt, including TV sets, fridges etc. (you know the sort), then start to argue whilst the check in agent tells them that they are X kgs. overweight and that will cost Y dollars or whatever, whilst all those behind them get more and more frustrated.
If the agent now says that two bags are free and the others cost Y$ per bag, with no haggling, then that would be quicker for everyone.
I am a bit dubious about a hand baggage limit controlled by size rather than weight because I suspect many will just try it on, with bigger and bigger bags.
On a recent flight from Nice some economy passengers were coming on with 2 large wheely-bags and expecting to stow them overhead, meaning others couldn't even find room for their coats.
Provided they make it clear that anything over the size limit goes in the hold with the appropriate charge, and no arguments then it might just work.