I will say this, without referencing the other Zemos of past, Helmut feels more like a generic villain that could be replaced by any generic villain, so to me it was kind of a waste to use that moniker on him. Sure they could touch on it in the future but I think as a comic book fan, him having a deeper comic book history would have made him a better character in this movie.
I guess (again being a comic book fan) I kind of wanted the hint of the Masters of Evil in the future too but with Zemos regular/cliched history, it seems less likely.
Can't help but almost compare him to Strucker, they didn't need to use the name if they aren't to go deeper to the character.
Maybe it's just me...
As for luck, I still think Zemo got lucky that Falcon told Tony where Cap and Bucky went. The ending was all dependent on that one event occurring and if Falcon had kept his mouth shut, his plan would have crumbled to pieces.