Alcohol is an unstable liquid. It evaporates much faster than water at high temperatures. If you wanted to rid your juice of any trace alcohol you could do a few things. Evaporation will take place with a greater surface area so you could transfer your juice to a wider mouth glass bottle (advisable) and GENTLY warm the solution by placing it in a shallow bath of very warm, NOT HOT, water. Keep your solution warm and free to breathe for several hours, shaking it every hour. If you still detect alcohol after the evaporation process, either that vendor uses too much alcohol in their solution or it's just nasty juice. Allow the solution to cool to room temp before you return the caps on the bottles.
I considered your suggestion and tried it on a few bottles. It was kinda hard to keep the water warm so I put a spin on your idea and have experimented with one of my own.
Experiment Part 1: In order to maintain a warm temperature and not have to change the water constantly I thought about how to keep the juice in a warm environment and keep the evaporation process at a steady pace. So I got a shoe box and cut some holes on the bottom and lower sides of it and put on the lid and placed it on a heating pad like you use for aches and pains. When I finally got the temperature to a steady 85 degrees inside the box, I placed 2 bottles of juice in the box for an hour at a time and repeated this process 3 times.
My results: There was a noticeable reduction in the alcohol smell after 3 reps of this technique, however, there was still an alcohol subtle alcohol taste. So I let the juice breathe with cap and tip removed for 24 hours. VOILA, much better! There was still a very subtle hint of alcohol taste, but I would say about 90% less than before. I put the juice back in the box for another hour and then let it breathe for 2 more and PERFECTO! No more alcohol taste that I could detect.
Experiment Part 2: I put 3 bottles of juice in the "hot box" I shall call it now, for five hours at 85 degrees. Removed the bottles and let air out for 48 hours. No more alcohol smell or taste!
Conclusion: After repeating Part 2 twice more with the same results, HEY, THAT'S IT!!!
I've used my "hot box" (patent pending

) to steep other juices that weren't quite ready yet and found it does speed up the steeping process. But I only put these juices in the box for an hour and then let them breathe. Don't wanna overcook the juice!!