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[Ben 10] What would the intended use of the Omnitrix look like?

Azmuth says repeatedly in the series that the Omnitrix was never meant to be a weapon, that it was supposed to instill empathy for other species and let the user walk in the shoes of other aliens. But, what would this look like?
gpt
Pretty much everything's been said already but Azmuth once said that the Omnitrix was essentially a parallel to Noah's Ark- A way to preserve and revive any race that has gone extinct. 

An example of this is Cannonbolt. In the episode that form was introduced in, Ben and co have to figure out how to deal with a massive tick-like alien that devours the life of entire planets before it destroys the Earth. One of the worlds this monster had already destroyed was the home planet of Cannonbolt's species- They were not driven entirely extinct, but were nearly wiped out and scattered to other planets. Through the Omnitrix, Ben as Cannonbolt unknowingly avenged that form's homeworld.

Another would be the Highbreed. The Omnitrix held a DNA sample of them, one which still shared the genetic deterioration that plagued the entire species, but was able to divert them from extinction by repairing the DNA of the entire species in one fell swoop, using materials taken from other species.

On the original stated purpose of building empathy for other species- Ben, despite his way of using the Omnitrix in most cases, is a pretty good example of it working as intended. Living as so many different aliens, learning their limitations and capabilities, Ben absolutely has a strong understanding of what it's like to live as so many alien species in different environments. He's been a Vladat burned by daylight, a Tokustar towering over the world, a Galvan struggling in worlds built for giants, hell he literally had kids as a Necrofriggian. He's absolutely got empathy for alien species and an understanding of what it's like to live as them. 

Albeit, in most cases he lacks cultural knowledge of most of the Omnitrix' aliens- This is outright addressed in the OS when Ben meets Tetrax. He fights him as Diamondhead and is sternly rebuked by Tetrax for treating his alien forms like costumes, with no real regard for their worth- Tetrax is a proud warrior, but Ben as Diamondhead is a brute and a mockery of his people. Tetrax helped Ben learn what it meant to be a Petropian, and that carries forward throughout the rest of the series and its sequels as Ben continues to unlock more and more of the Omnitrix.