No because the price charged for bags here (about 15 cents) is 10+ times the cost of the bags supermarkets used to supply. Plus almost everyone re-used the bags from the supermarket at least once (in my case as rubbish bags - I don't have or use a 'bin' inside the house - instead I hang a bag and when it's full put it in the council rubbish bin and hand a new bag).
I have two cloth bags of plastic supermarket bags (one for each vehicle) but find after between 5 and 10 uses the so-called 'green' plastic bags fail, get too many holes, the handles break off, or some combo of that, so they have to be discarded.
It's the same sort of arguments used to outlaw plastic drinking straws, plastic cutlery at take-away places, etc.