So in my biased, unilateral opinion, the true strength of .410 Bore lies in the fact that its dimensional similarities allow it to be fired from combination .45LC/.410 Bore handguns, giving it a unique niche as a cartridge with tons of utility.
I only wish that there were more combination .45LC/.454/.410 Bore firearms, namely a Lever Action Rifle, as that could make for a heck of a hunting/wilderness defense firearm.
I need to point out that there are no .45LC/.410 Bores, they are all .45 caliber barrels. They are .45 Colt guns that
allow the firing of .410 shotshells.
They don't have a great reputation for accuracy with .45 Colt ammo, generally, because of the extra long jump the .45 bullet has to make to reach the rifling, which is further away from the bullet in guns made to take .410 shells as well. Some guns apparently do well enough, some don't. At pistol ranges its not usually a huge factor, but it could be, every gun is different.
The main reason you don't see something like a .45Colt/.410 lever gun, besides the long bullet jump issue is simply the length of the shells.
Revolvers (and single shots) don't care, but magazine fed repeating actions have a lot of problems feeding when the rounds are over an inch different in length, and different body diameters.
With a maximum loaded length of 1.6" and a body diameter larger than the 2.5" and 3" .410 shells, you run into all kinds of complex problems trying to make a lever, pump, or even a bolt gun feed both interchangeably.
A bolt action seems like it would be the easiest, provided you designed it to use different magazines for the difference caliber shells. The magazine feed lips that keep a .410 shell in the right position for feeding are not right for the .45 Colt, and vice versa.
Action LENGTH plays a part too. Even if you're using tube feed, and the cartridge stops and lifer will work for both .45 and .410, the action length needed for the .41o means that .45 Colt round has to travel an inch and half "loose' before it even gets to the chamber.
Even though the .410 and .45 Colt RIMS are close enough to function interchangeably, the differences in case body diameter and length complicate the feeding mechanism to the point where no one is doing it, if it even can be done.
I think someone (Taurus??) does, or did make a long gun shooting .45 Colt/.410, by essentially fitting a stock and long barrel on their revolver. You won't find any lever guns in .45/.410 combination, but you might find one of those...