Does No Dig control weeds?

Last year we started some No Dig beds - how do they look now compared to those that we did dig? Our Teespring store -https://teespring.com/en-GB/stores/al... Our Amazon wish list - http://amzn.eu/bKxEtLq - Items that you can 'gift' to us, should you like to. Each item has been chosen because it is practical and useful in our every day gardening/homesteading lives, or just a little treat for Roo x Thank you for your support x