Cayman disabled access is the best I’ve encountered anywhere in the Caribbean. Good sidewalk ramps & flat terrain make it easy for wheelchair users to get around.
Like Turks and Caicos, the British Virgin Islands, Anguilla, and Bermunda, the Cayman Islands are a British Overseas Territory which means there are stricter accessibility standards than most Caribbean islands.
There exists one major accessibility hurdle for disabled cruise passengers…all of the main cruise lines use tenders (rather than a pier) to bring passengers ashore. A variety of factors (including weather) will determine if disabled cruise passengers can go ashore. Your travel agent should be able to provide you with details about these factors.