You’d be hard pressed to find people that don’t snoop around in medicine chests. Such is human nature.
You’ve just been added to the list of people who get all the doors locked for them if they ever stay in my house.
I wouldn’t open up someone’s private cabinets, medicine chests, etc. It is simply wrong and immodest and a violation of privacy to do so. And I doubt anyone who grew up with proper values would.