Cardiomyopathies are quite heterogeneous. Regarding congenital cardiomyopathies you may be interested in Barth syndromeArticle Deficiency in Cardiolipin Reduces Doxorubicin-Induced Oxidat...
I agree with Andri Leó Lemarquis that cardiomyopthies are heterogeneous and if associated with primary immunodeficiencies, the mutations are acting in T cells (Omenn syndrome or calcium channel (ORAI-1) deficiency) or neutrophils and macrophages as in the case of Barth syndrome, rather than B cell immunodeficiencies.
There is however a rare primary immunodeficiency syndrome with B cell signalling defects called TWEAK deficiency with mutations in the TNF-like weak inducer of apoptosis (TWEAK; TNFSF12) gene that have both B cell/ antibody defects & seem to associate with cardiomyopathy.
Please see the attached papers for further information.
http://www.pnas.org/content/110/13/5127
Article A Novel Role for Tumor Necrosis Factor-Like Weak Inducer of ...