The reality is they are not "soft lead". Nor marketed as such.
If "air gun" ammo was compatible for our use in ML,, the manufactures of that ammo would be marketing to us already.\ to maximize profit.
You've not found a magic source of projectiles for ML that everyone can use..
1. You are correct, they are not marketed as "soft lead" They are just lead. You have to look at the MSDS sheet to even see that. Neither airguns nor BP use lead hardened with alloys.
2. A large bore airgun and a BP gun require a round lead object of a specific diameter. As that is the only specification. please tell me what is supposed to be different other than the weight of the projectile, which to be fair IS very different - but does not make them incompatible. 99% of all airguns are .177 or .22 and I suspect you have never used one larger than that as they are less common and more expensive than BP guns- and the airgun & BP community do not have much overlap
3. Correct again - large bore airgun pellets cost far more than bullets, even the lightweight ones. Unless you have a $2000 Swaging press, are making them yourself, and shoot a LOT, it is not a money saving alternative, just a curiosity. And not a good alternative. Even then casting is faster than Swaging.
I was given a container of large bore airgun pellets in a size I did not yet own, but they fit my 1851 navy. I tried it and it worked- but only with very light powder charges. But after 100 shots I can say it does indeed work. As a curiosity, not a solution.
And thats all I did because large bore airgun pellets cost significantly more than bullets. Large bore airguns cost more than real guns I might add. Which is why the are not marketed to you. Also the vast majority of airguns, like 99% of them, are .177 or .22 caliber and I have never seen a BP gun that size anyway