The only time NA beer has appealed to me is when it's hot and I'm doing outdoor labor. I like the taste of it. I also like the taste of ginger ale in the same conditions.
NA cocktails are a waste of money. A virgin Cuba Libre is just a coke. A virgin mary just tomato juice. Add Tabasco.
Here's the real danger: a harried bartender or waitroid on a busy night. I've had plenty of drinks so well made that the alcohol didn't taste. One mistake by staff and you'll know in a little while. And that monster in your hindbrain will have happy feet.
So, don't take the chance when away from home. You want to treat yourself while at home, I don't see it as being worse than ice cream.