I am a casual hobbyist. I don't get to hunt squirrels or rabbits in my suburban yard in California's very gun controlled vistas. So, my thought was that if a bore sight laser can tell me where my point of aim should hit a target at the range, then I can spend my limited time better working on what needs improving: the gun sights or me. A bore sight seems like an easy, fast, inexpensive test.
Unless your sights are so far off that the shots are not even on the target paper (ie, you don't know where they are hitting), a bore sighter provides no useful information.
All sight adjustment should be done with actual fired groups, generally 5 shot groups for handguns (3 shot groups for rifles). The only purpose of a bore sighter is to get the group on the paper so that the actual final adjustments can be made.
Factory iron sights should be plenty close enough to not require bore sighting. For a laser sight, which could be off quite a bit initially, a bore sighter might be useful to get it close. But all sights - scopes, lasers, red dots, iron, all should be adjusted by firing groups and adjusting out the error.
How is your group size? Is it small enough to have a well defined average point of impact (group center)? If not, then the first thing to do is practice until the group is reasonably small, say 2 in. to 2-1/2 in. at 7 yds. If you are working on your group size, don't even worry about where the group is in relation to the point of aim. Just keep aiming at one point consistantly (e.g. the bullseye or 6 o'clock position).
Once your group is small enough to show a definite group center, then you can adjust the sights as necessary to move the group to the point of aim.