The "my name will reach the heavens" is not a separate dream. It's a bravado that comes from his desire to be the best one like no one ever was. It also means that his name will reach Kuina in the afterlife, on a more metaphorical way.
But, man, honestly, the "grade swords" and "black blades" plots are really fucking bad and inconsequential. Almost no one gives two fucks about black blades. Zoro walks towards Mihawk with a black blade on his hip, and we don't get a single comment from Mihawk about it.
Just some "every blade can become a black blade" flashback that was indicating CoA blackening coating at the time, until someone told Oda that it wasn't hype enough and he decided to come with this "permanent black blade" shenanigan that he still didn't explain.
This plot goes nowhere.
The part about Zoro's enemies I agree. Wouldn't hurt throwing someone else out there chasing the same dream as Zoro. But against Mr1 he learned to cut steel. Against Braham, zoro learned flying slashes. Against Ohm, Zoro incorporated these two things.
Against Kaku, he gets Ashura.
Against Ryuma, Shusui.
Everything seemed like a natural progression towards Mihawk.
Then Post-TS happened and his fights lost their themes.
Hyouzo didn't add anything. Monet didnt add anything. Pica didnt add anything.
Only now with King he got CoC and we once again got the feeling that he's progressing.