Well, the mixture with the baking soda will also be fatal for other insects such as cockroaches, at home I always place but mostly for cockroaches, as I currently have no problems with ants. At least you have that "guarantee" with the exterminator, time will be the one that will assure you if the exterminator did a good job, although I would say yes, since the products they use are almost always effective.
RE: Art Imitating Life: My Collage for LMAC #206