Lola didn't even get a cameo of some sort for Looney Tunes: Back in action,
.
I swear she had a non-speaking role as a police officer... but I have to double check.
Now that I remember (and looked it up) she was also in Tweety's High Flying Adventures as a color commentator for Tweety's world round voyage. But then again, there weren't all that many LT projects that she could have been added too. Apparently, there was also a web short. I dunno about any DC comics Looney Tunes publications, I didn't follow that series close enough. I have some, just not much.
But yeah, I think Lola could be a stong female character in the right light and in my opinion the way she was recently shown on "The Looney Tunes Show" wasn't the right light. I agree Babs Bunny is a stonger female presence than Lola (which helps explain way Babs is a personal favorite of mine from Tiny Toons.)
From what I've seen of the segment, they were trying to portray her as... I dunno... I wouldn't so much say ditzy as completely scatterbrained and awkward. More disorganized than dopey. It works in the sense that they're making an "awkward date" type cartoon... but I can't say I cared for it... maybe I just dislike Kirsten a little too much.... really... every character she plays on SNL is exactly the same... nuts. And not in a fun way....
Babs is a special character... When they came up with the characters of Buster and Babs, instead of making one "protege" of Bugs, they split 2 parts of his personality into 2 characters... Buster got Bugs's coolness under pressure, slyness, and snarkiness... Babs got the wackiness and weirdness (associated closer to the earlier versions of Bugs), a brilliant play on the character. Plus, there was a great will they or won't they romance going.
To me, Lola should be a little more like Babs... not exactly like Babs, but just taking a cue and being more of a match for Bugs. It's like I'd want to see a short where her and Bugs are together... on a date or something, and Elmer's trying to bwast some wabbits, and Lola winds up pulling the same wacky survivalist stunts to keep them both safe. Something like that.