Yeah…and if you didn’t quite place your intersection object in the right place, you can move it around non destructively. Plus you can undo it if you change your mind further down the road. Truly one of the best addons ever created in my opinion. Having said that, it’s still pretty annoying when you can’t get blender’s internal tools to work in the way you want. I completely understand your frustration.
Right tool for the job. Intersect is a low level modeling operator, but it certainly has its uses. I’m sorry you were having difficulty with it, I’ve had a lot of good experiences with it.