The trailer was outsourced apparently.
Respawn had job openings a couple weeks before the announcement for work on a AAA single player shooter. So it's probably single player only.
Plus it's being made by Respawn, if it was Battlefront 3, it would probably be made by DICE again.
Maybe not literally BF3, but it can't exactly be a million miles away from it either, single player or otherwise; That's the thing about FPS's; the "S" = shooter. And let's not forget, for better or worse the BF series does have a SP component, so these aren't mutually exclusive concepts.
Yes, you can get first person RPGs, but they're typically third/first person hybrids like the modern Fallouts (and to a certain extent, Deus Ex.) And semantics aside, I don't think anyone would call Skyrim an FPS, despite being played in first person. (I also don't include VR games in this, for obvious reasons.)
As I said, if it involves lightsabers, then it's probably not going to focus on FP. So as this is FP, then for Star Wars that means blasters. Which basically means a military shooter of some sort, with Battlefront, Republic Commando & Dark Forces being the main precedents. Whether you're playing a Stormtrooper, Rebel, Clone, or mercenary in this kind of game is just window dressing.
Don't get me wrong, I'd love a Deus Ex style Star Wars first person RPG centred around deep, character centric plots set in the galaxy's underworld, from 1313, to Nar Shaddaa, to the slums of Corellia, filled with intrigue, spies, smugglers; and also; plot twist, in the final scene it's revealed you've been playing as Mara Jade all along, and you've just successfully infiltrated the Alliance, on the hunt for Fulcrum . . . I just don't think it's very
likely. At least, not in this instance.