I have used the no dig method since I had my allotment in July 2014. It was waist high in weeds and after an initial cut we covered everything in card board paper and weed suppressant.
I planted onions garlic and shallots in a bed prepared by hand weeding and covered this surface with a fair amount of compost.
My crop was the envy of lots of the plot holders so I have continued and my crops have all been great. I will continue as this is the best way for me without the worry of digging.
Kathleen