I do agree in principle that it is possible to produce very good images without dodging and burning at all. That's what we all do if we use slide film for example (I realise that the original post refers to making a print, however).
I think very few of my B&W prints have ever required no dodging and burning to produce a satisfying image, perhaps because D&B is part of the fun (for me) and something that I enjoy doing. On the other hand, most of my shots are taken impulsively in whatever light is available - I spend all day doing "head work" so photography is a way for me to unwind and let my hair down, whilst I still have any.
The views/opinions/experiences of other people may of course be completely different. C'est la vie.