I agree with that. There's plenty of jokes and not-taking-itself-seriously through the games.
The character in question is in the casino:
EYE:
Larry! That could be YOU in twnty years...
Or much, much sooner.
MOUTH:
L:"You don't look like you're having much fun."
OL:"I know. I should go back to my regular job."
L:"What's your regular job?"
OL:"I sell software. I'm just in Lost Wages to try to find true love."
L:"Tell me about it!"
OL:"I just did."
HAND:
You peer closely at the man's clothing, and finger it gingerly.
L:"Is this polyester?"
OL:"What's wrong with that? I've been wearing polyester for almost 50 years! It's great stuff!"
OL:"Doesn't stain, doesn't wrinkle! You throw it in the wash! There's nothing not to like about it!"
L:"You don't have to tell me, I LOVE polyester!"
L:"Sometimes I don't think women appreciate what a practical, sensible, AND STYLISH choice it is, and what that says about a man."
OL:"Listen, I spent my life being shot down by women for wearing polyester, and I don't care! It's a miracle fabric."
L:"Right on! Tell it like it is, Mister!"
OL:"Call me Larry. Hehe."
L:"That is so weird! My name is Larry, too!"
TONGUE:
You give the man a good, hearty whiff.
L:"Mm! What IS that?"
OL:"Probably my breath freshener."
OL"Sometimes I worry that I use too much. Am I using too much?"
L:"No. You're using the perfect amount."
OL:"Thanks! So are you, by the way. Your breath smells great. It's a pleasure to speak to someone who really cares about their breath."
L:"I agree!"
OL:"Yeah!"
Get a room, you two!
ZIPPER:
OL:"Ah....a long, long time ago, I had one that looked just like that!"
So yeah, there is an old Larry in LSL:R. I think this is just meant as a funny reference.
Just to clarify my position a bit:
This comes down to
Watsonian vs. Doylist thinking.
I think there are sometimes elements of a work that simply don't have an in-universe (Watsonian) explanation. They aren't part of the the world-building or narrative. They instead just have a real life (Doylist) reason: there for the audience. In these cases, trying to
find the in-universe explanation is useless, since there isn't one to be found. It may be possible to
create an explanation, but these would never actually be canon.
For example, in QfG2, in Keapon Laffin's shop, there's a toaster. From a Doylist perspective, we know why it's there: it's funny. However, there really isn't a Watsonian explanation for it, and any explanation we create wouldn't really add to our understanding or appreciation of the work.
And if you take the stance that everything must have a Watsonian explanation, and apply that to a comedy like LSL, filled as it is with references, cameos, and easter eggs, you'd tie yourself in knots. Even if you could reconcile everything as a single coherent narrative (insomuch as time travel is ever coherent), that wasn't the point. LSL1VGA and LSL1:R are remakes, not time travel stories.