I believe that an abscess occurs only in some serious intestinal disease, like in inflammatory bowel disease - IBD (Crohn's disease or ulcerative colitis), or in heavy infection. If abscess
has gone, this doesn't mean that inflammation in the colon has gone. Abscess
is only a complication of an inflammation and it usually resolves by itself, if you treat it or not. So, my suspiction is, that there may be either IBD, or recurrent infection which is often in diverticulosis.