I midly agree with this. For one part, trying to get one Unique and seeing that it finally drops with 0 LP it could make it very annoying for people. But I tend to look things in other way. You suggest that every Unique should have at least 1 LP. My feeling about this is that would work better if every Unique drop with 0 LP and we can have another way to add LP to them but with the same numbers as drop, being easy to add 1 LP, a bit difficult to get 2 LP, very very hard to get 3 LP and almost impossible to get 4 LP. How make this? I don’t know exactly but my first though would be a hard material to get from level +90 and when you get it, it will randomly add LP 1 to 4 (but will most likely you get LP1 and maybe 2) to the Unique when you apply it. The RNG is in get the Unique first, then you get this hard material so you can add LP, then, you can upgrade it to a Legendary with an Exalted item.
Considering what I suggest above, the Legendary items would be a final step, so they can’t be crafted further more. You will need to get the Unique item again, then the material to add LP and try again beating Julra.
I can’t agree or disagree with this but as my POV it’s already fine the way it is. If for some reason -supposing- my idea were implemented, maybe would be more fair considering you have to get specific things (the Unique, the material to add LP, the Exalted with the affixes you want) and then beat “hard” content in order to have a Legendary.
But all I say depend of what I suggest.
Edit: Fixing my text