Not really, it doesn't look similar. It's just the Level 2 sword of the game, just like the White Sword is the L2 sword of Zelda I. Moblinking did point out that in Japanese the Noble Sword is referred to as the White Sword, though.
I think anyone could use the wooden sword in Zelda 1. Getting more hearts is just a game mechanic to make players work towards getting the White Sword, there is no indication at all that it has some portion of Sacred Power.
As for the Oshus quote, I think that refers to sacred power as a...
Oof, well it looks like everyone messed up on that bit of reporting. The blurb in question was from a Gamesradar pamplet... It also just says "a new threat" and doesn't mention Ganondorf.
I remembering seeing news that there was a pamplet at some gaming stores in 2019 which confirmed that was indeed Ganondorf's corpse, and that the events of the first trailer were taking place underneath Hyrule Castle.
I think Force ≠ Sacred Power. How much Force someone has to be able to use a certain blade does not mean that the blade necessarily has Sacred Power. The White Sword in Zelda 1 doesn't have anything special besides being stronger than the wooden sword. In Skyward Sword, the Goddess White Sword...
I'm not sure if it has any sacred power, really. In Zelda 1 the White Sword is decent, but the Magic Sword is better, but none of the swords in the game actually matter in beating Ganon, because only the Silver Arrows work to kill him.
I think the White Sword is just a sword upgrade in general.