Just taking your post at face value, it is very important. Now then, it doesn't stop there as there are "additional" considerations. There are some excellent videos in YouTube that might help with any additional questions that you will have. I can send you one link, as you wish. .....How important is it to mount the scope low and close to the bore ?
May not be at the top of the dumb-list but pretty close. .....Those see through rings were one of the dumbest ideas to come along