I'm actually on the side of the argument where Battlefront 3 should NOT be made. Not because I didn't like the original games, I loved them. But, because I know that Battlefront 3 would be made to appease as wide (read: young) an audience as possible.
There are several problems they would face, the first being as mentioned in the video, graphics. Sure, it would look amazing on the frostbite engine, but think of the resources required. You can't just re-skin Battlefield 3 and remove the brown filter, what makes Battlefront so great is the AI controlled units contributing to the fights making everything feel much larger then it actually is. Planetside 2 is a shooter with the kind of scale you'd want to see Battlefront 3 have, but graphics wouldn't be as great. And the publisher would always assume that graphics = profits, so they would sacrifice the scale of the game to put it on the latest engine.
There are a few more business issues that would go along with this that I believe would make the publisher wary of backing the game, including the fact that the past few Star Wars branded games haven't done so well. TOR is hardly a success story, having cost so much and going F2P so quickly. And this goes back to the graphics issue. If you're making a shooter, they would say "We want a game 'better' then Call of Duty" not understanding that 'better' means more then just graphics.
But, if the game does get made, I really hope it is made by a team who knew what made Battlefront 2 so great, and they care about making a good successor.