Pfft, you can't be a true Luigi fan and still have a hate on for Mario--that's a perversion of Mushroom Kingdom law. What you're talking about is a loyal Luigi cult following wherein its members hold Luigi high and above even the interests of Luigi himself; people who will buy Mario Is Missing and Luigi's Mansion without even acknowledging Super Mario World and Mario Sunshine because the original man in red has been permanently relegated to second-place by an uninformed decision to select the esoteric underdog.
You have to be a realist about Luigi's position and to embrace his strengths and weaknesses in Nintendo lore, the games must be played without bias, including Mario-themed games. Mario first appeared in
Donkey Kong sans Luigi, of course, and since he had yet to exist, nothing about Luigi could properly be derived from it. However, as soon as he become a straight palette swap of Mario in arcade and home console games in the late 1980s, comparisons could invariably be drawn. Luigi's original jumping properties and low traction were, in fact, not Luigi's at all but rather belonged to the maternal character in the Famicom release
Doki Doki Panic, later ported to the west as
Super Mario Bros. 2. These elements of Luigi's physics continue to appear in games today, as we know.
As the stories and the graphics got more complex, so too did Luigi's character and he had firmly established himself a place in the Mushroom Kingdom as Mario's brother, fighting for good--not evil. The only evidence (using that word loosely here) you can find of Luigi being Mario's "worst enemy" would've been in his original
Mario Bros. duelling/versus style arcade game and possibly
New Super Mario Bros. in which a multiplayer game pits the two against one another, accompanied by no storyline or explanation for the conflict. These could've been communal VR training sessions to help cooperatively thwart koopas in tandem when the real threat comes, for all we know. What's more important is the longtime partnership they've established through countless adventures.
One can't help but admire Luigi's raw determination in helping to locate Mario amidst castles full of Koopalings and clever edutainment puzzles early in their relationship. Not to mention having to do it all over again in an absurd ghost-filled mansion armed with nothing more than a Poltergust 3000 and a Game Boy Horror. If Luigi or Mario felt that either was their worst enemy, you can be sure that this wouldn't have occurred. Were that the case, perhaps these games should have been retitled to
Peach's Mansion, wherein Luigi becomes kidnapping partners in crime with King Boo, and
Mario is Missing...at the hands of his sadistic brother!, where you must play as Yoshi, forced to mix and match trails of various cookies in the castle under the assumption that their delicious appearance will bate Luigi outside and ultimately towards eternal imprisonment in the Super Happy Tree.
"Weege" in the context of the source material is a term of endearment, used to ease Luigi's understandable state of nervousness as he and his brother face an awkward situation. I'd be quicker to pin "worst enemy" on Waluigi, despite a lack of concrete evidence--at least he's responsible for plagiarizing Luigi's purply
Wrecking Crew outfit.
Anyway, I was going to expand this even further for some reason, but the bottom line is: Luigi is the man and there's a lot of good reasons for him to be your favourite--but Mario's still the icon.