I know very little about the APA (psychiatry), but Division 38 of the APA (psychology) was founded in 1978 and is specifically devoted to the application of the biopsychosocial model to clinical care. A description from a quick google:
"The importance of health psychology as a discipline is best illustrated by the fact that behavioral factors predispose, precipitate, and perpetuate many of the leading causes of illness and death in the USA and around the world. And, perhaps more importantly, behavioral and psychological interventions have been shown to encourage disease prevention, enhance coping with acute and chronic illness, and improve health outcomes when delivered in isolation and in conjunction with existing medical procedures. To promote further progress in each of these areas, APA Division 38 supports the educational, scientific, and professional efforts within psychology to understand the etiology, promotion, and maintenance of health in the prevention, diagnosis, treatment, and rehabilitation of physical illness; conduct research related to the psychological, social, emotional, and behavioral factors that contribute to physical illness; make active contributions to improving the health care system; and assist in the formulation of health policy."
'American Psychological Association Division 38 (Health Psychology)' published in 'Encyclopedia of Behavioral Medicine'
link.springer.com
From the looks of it, that description you linked was published in a peer-reviewed journal (Psychodynamic Psychiatry), and it made an obviously inaccurate statement. Purely from a professional ethics standpoint that's really disappointing, and hopefully not a reflection of the quality of the science that gets published.
It's really striking to see how much ignorance there is among psychiatrists about what psychology is up to, and vice-versa.