For us ADHD people your simple habit is an insurmountable problem. Even if I have them in the car I'll be halfway done with shopping before I remember the bag. Fortunately they just let me pay for a new reusable bag each time.
I resent it because it feels like token bullshit. Plastic bags were quite thin so there is quite literally 100x+ more plastic in the packaging of the products I'm buying than the bag it goes in. Environmentalists pushed the most inconvenient policy that has the least benefit instead of something that might actually move the needle enough to gain my support.