Tim, several years ago I had a beautiful strawberry jar full of semps. There were several different varieties in there, and it was a few years old with no problems. One year an ant colony moved in, and they killed every plant in there within a month. There were no other problems with the plants. This is the only time I ever had this happen, but it did. I have had ants in my plants before with no damage, but they got those ones.
My sister swears by Bayer's spray, but I have never used it. She takes her houseplants out for the summer, and when she brought them in, they were full of ants. She said the Bayer's knocked the ants right out with no damage to the plants. I don't know about using it on veggies, though, I'm funny about that.