For most people and for the most common use cases, Cayman Islands offers no advantages over BVI, TCI, or Anguilla (if we stick to UK territories in the Caribbean).
If you go to Cayman Islands, it's usually for a specific purpose (different types of fund, IP holdings, financial services, or large-scale tax planning). If you're running an actively trading online business on the go, Cayman Islands can be worth looking into for the sake of completeness but it's unlikely to be a good choice. Unless it's worth the extra thousands for the additional prestige/reputation and (maybe) more banking options.