Yes…but they also have a finite life. The ones I have seen being sold by a number of different retailers would have a limited life expectancy, and far less than that required to offset the resources used to manufacture the thicker bags (where there have been reports up to about 200 uses to then be ahead of single use bags).
If one is concerned about the government policy of allowing retailers to use thicker potentially less environmentally friendly thicker ‘multi-use’ plastic bags, one still has the choice to purchase quality cloth bags (preferably cotton or hemp) for a few dollars and which will last for many years. Our own oldest calico cloth bags are over 10 years old…noting some have had minor repairs to maintain their usability.
It is worth that using a bag twice before disposal, still qualifies for the multi-use term bandied about.
It would be better if the legislation defined multi-use was defined as having a life expectancy of say 50 uses (which would correspond to a year uuse based on a weekly shop). This would remove the thicker bags as currently supplied as a option as they would not meet the multi-use definition.