The prescription bottles are meaningless. Actually, so are the prescriptions themselves. They do not confirm that that the product matches either the pill bottle or the script.
We have been traveling for the past 50 years. Last 12 years multiple trips to Europe, Africa, SE Asia, Australia. Lots of Italy, Turkey, Greece, etdc. Three or four times through Naritia, Japan, twice through Changi, Singapore four years ago.
Often for 8-9 weeks at a time. That means DW takes 11 weeks or so worth of pills with her. We only do carry on so they are there to see if we are asked to open our bag. Which sometimes happens.
Not once, ever, have we been questioned about drugs. DW carried a controlled drug supply from Malaysia to Australia following a serious back injury in Kuala Lumpur. Not even the blink of an eye from Oz customs.
The thing is....we probably do not match the demographic, etc. Experienced border and customs people know what to look for in demographics, behavior, etc. Not to mention the sniffer dogs that are sometime lurking about. We typically zip through. Last time entering Australia the customers officer looked at us, jokingly asked if we were smuggling in any maple syrup (because of our nationality), and waived us through. And OZ is supposed to be 'tight' on entry.
We sometimes wonder if it has anything to do with only traveling with international size carry ons and no checked bags. Not much room for any drugs!