You are absolutely correct, the proper equipment must come with the proper training. The question to ask is "Does any member of the crew have STCW training?" (They must to meet international passenger vessel safety requirements) and "Does the vessel hold regular drills?" You'll know if they do, because they will hold one while you are there.
By law, any safety sensitive crewmember (Captains, deckhands, Engineers) must complete 5 days of training to include a day of First Aid, a day and a half of Personal Survival Craft, a day and a half firefighting, and a day of PSSR (Personal Safety and Social Responsibility, or the no grabassing class).
Also by law, the vessel must hold an abandon ship drill within 24 hours of getting underway, Including all passengers don lifejackets and muster at the disembarkation station. As well, ships must test the EPIRB monthly, hold a fire drill weekly, a MOB monthly, and make sure the first aid kit contains minimum supplies quarterly.
THATs the gold standard. Any vessel should be willing to show you their logs.