"I'll punch you in the throat!"
Yes and no at the same time.I mean USUM Lillie is relatively closer to anime!Lillie.
Anime!Lillie wishes to become stronger and a better trainer to find her lost father, but unfortunately for her, she lives under the shadow of her more competent brother, who was pretty much the reason she survived her trek in Poni Canyon. Worse still is that she lives in the same universe as Ash, so her action bits are extremely low (even if by this anime's current standard it was pretty high). She's also stuck traveling in a journey with her family to find her father, wherever he is, so it remains to be seen how much she grows, because she has to be held by the hand by either Ash or Gladion; the latter who has that duty now.
USUM Lillie has different motivations than SM Lillie in that she wants to protect her family instead of finding her father (though only because she's left to think he's lost forever), though she is arguably more successful than Anime!Lillie due to traveling alone by herself at times and not being close to an accidental death during the Poni Canyon portion (seriously, remember anime!Lillie trying to do a puzzle correctly but was actually a nasty Kaizo Trap meant to kill savvy intruders anyway? Literally the only point when the series took a dark joke and ran with it, but it happened just to her to make her brother more competent). She actually becomes a better trainer and is more self-sufficient, but unlike Anime!Lillie, her family issues are still in hot waters (realistically enough, since Lusamine did so much trauma (even if her SM version did more)). And unlike anime!Lillie, this one gets to have her close bond with Nebby intact without the foreigner taking it away from her (and her loft) so much that Masters EX gives her freakin' Lunala...who turned to be a gift from either Elio and Selene.