Yep, there is no (right or left) hearing aid until you make it a (right or a left) by designating each hearing as a (right or left HA) within the fitting software and then save that session.
You can also physically attaching a small (red or blue) marker on each hearing aid but that accomplishes nothing more than a visual clue so hopefully you will install these markers correctly.
If you have trouble comprehending this concept then lay your hearing aids side-by-side. Except for the receivers that point in opposite directions both hearing aids look exactly the same. Even the battery doors (for disposable batteries) have the battery access on the same side. They are one-and-the-same widget.