When the live action is made for the US market, I think they’ll use “Star Blazers” because that’s what most US fans recognize.
IMO, using the name “Space Battleship Yamato” (a Japanese WW2 battleship) for the US market might not connect.
Just a guess.
I found this good anime site - free good selection of subbed, dubbed including some good high resolution videos too!
Here is the sub title Yamato 2199 - just saw that for the first time last week ... very good!
http://kissanime.com/Anime/Space-Battleship-Yamato-2199/Episode-001?id=71734