Welcome to ECF, and congrats on making the switch to
vaping. Your interestin DIY shows that you are one of those rare vapers who is interested in becoming personally responsible in your own
vaping experience, and we applaud you for that!
Here's the thing with medical syringes. They are made to be disposable, and the ink they use to print the markings on the outside is specifically formulated to wash off. It is actually water-soluble, so that people can't use them over and over again. This is for health reasons (you don't want your doctor using the same syringe on all kinds of people) and also to combat the use of medical syringes by illegal IV drug users.
Back in the day, they used to make syringes from glass, and the markings were etched into the outsides and would not wear off. To clean them in hospitals or doctors offices, you would boil them or run them through an autoclave.
But disposable medical supplies are BIG BUSINESS, and there's not much money in selling glass syringes that last for decades, so glass syringes are nearly impossible to find these days. And the plastic, disposable ones are engineered to have VERY short lifespan. Hence the easily-washed-off ink markings.
I use clear packing tape on mine, and it holds up just fine. When I notice the syringes are beginning to retain smells from my flavorings (they won't wash out), I toss them. On average, my plastic syringes last about 15-20 batches. After that, the little rubber plunger gasket tips start to degrade and they won't draw the liquids very well.
Good luck with your DIY experiments, and keep vaping!