I have been doing a little research. The American Society for Metabolic and Bariatric Surgery has accredited Hospital XYZ and the two surgeons there. In addition, the hospital is considered a center of excellence for bariatric surgery.
Hospital ABC and the surgeon there do not appear to be accredited. This could be a game changer.
I have reached out to the program director at Hospital ABC to ask if the surgeon and the hospital are indeed accredited. If not, I will definitely go with Hospital XYZ despite a poor first impression.