When you take away all the heroes, myths and legends, what makes them special looking at it only as a bunch of wood and metal pieces?
They're extremely durable, robust, and reliable compared to a lot of the other offerings. You could say they're unrefined, but purpose built. Kind of like comparing a heavy military musket to a hunting rifle. Function in the absolute worst circumstances over form. Fleet grade F350 vs consumer F150 with the bells and whistles.
Not at all easy to try and make an economically feasible "Hawken" that stands up to why it was desirable in the first place. Not a lot of people who need to go tramping off alone or with minimal support into barely explored dangerous country anymore. They want to go the range and plink, or safely into the woods for a few days to hunt.
I think if you want to answer your question, you need to figure out why the "Heroes" picked a Hawken over something else. I think they really valued durability over almost everything else. They needed a rifle that could take a fall from the ground, or from a horse. Something that could survive a fight if you had to use your gun as a club. I've heard they were reliable. Maybe they were also very good at tuning locks. That's probably some speculation, and half remembered snippets from things I've read. There are sources of this information out there though, might take a bit of digging.
Good luck! You've got a lot of hard choices to make, and it will be quite difficult to balance historical accuracy, myth, and appeal vs paying employees.
ETA: I've got 3 of your guns right now, and one of the things I like most about them, is knowing they're accurate to the period, and so much different from what I expected. Longrifles make a lot more sense when you pick one of yours up and aim down the sights.