GAW
Sorry but it most certainly is not sheker.
The charities mandated on a wide basis by the Torah are personal obligations that require a person to personally and directly care and support the poor.
In addition there are Cases (you sited one but there are plenty) throughout Chazal where wealthy people were either strongly encouraged or actually compelled to donate towards communal funds for the poor.
However the community wide “Robin Hood” type taxation encouraged by liberal economic policy that has never worked and has led to the impoverishment of millions (when the rich stop investing and creating jobs and governments run out of money) is not found anywhere in the Torah.