He may be one of the very few that tough their way through treatments, and in the process lose a ton of body weight. While there are exceptions to everything, for the most part he will perhaps prove he is a tough guy, but he will heal slower than necessary. The recovery period of a month for every week of treatment is a common denominator. His hardheadedness will only cause that period to last longer than necessary, allow him to be more susceptible to every bug, flu, virus, that comes his way while his immune system is not up to par.
For some people logic does not make a difference. Let's hope that his decisions do not compromise his healing to much.