So, what you're saying is that Lady doesn't have enough skill to match Lara because she was shown in one game, and, thusly, we can't give her enough credit because we we only seen her in one game? In short, Lady doesn't have enough "experience", so she's weaker than Lara. Really, to me, that's a stupid argument. I can think of a few arguments (aka a thousand arguments) to go against that. First, you say that Lady doesn't have enough "experience" because she was seen in one game. It doesn't matter how many games they appear in, if its enough for people to judge a character's ability as great or just plain horrible, there's no need for more. And, because we don't witness it, doesn't mean that the character's adventure ends. Heck, they might reappear in another game, that might be a possiblity. Now, here are some arguments that pretain to Lady's ability:
1. Treasure Hunter vs Demon Slayer- A demons slayer has trained there bodies to almost superhuman limits just to fight the supernatural, while a treasure hunter has only trained their ability of deduction to solve complicated riddles. In an argument of who's stronger, Demon Slayer wins, to see who's smarter, Treasure Hunter. But in an argument to see who's better, well, Demon Slayer would win because they can kill the Treasure Hunter without thinking about it.
2. One- woman army vs. a chick with two pistols- Lady is, in all sense of the word, a Femme Fatale. She has a missile launcher, pistols, a machine gun (or two), and some grenades, and can use them all with such great skill, add that with her superior agility and you basically got a living weapon. While Lara is has enough smarts to use the enviroment as a weapon along with her two pistols. In a fight against these two women, well; Lara would gain the upperhand because she has more experience in all forms of enviroment, then again, Lady has shown that she can use the ability to use the enviroment to her advantage as well (even though her cleverness might not be on par with Lara). Still, Lady's experience in combat might be the thing that would help her in this case, since Lara's best bet is to use the enviroment alone and if she ran out of advantages, the tides might go to Lady's favor.
3. Combat Experience- Even though Lara might have some experience in fighting, its only against humans and only a few of them at a time, but Lady has fought against possibly thousands of demons throughout her lifetime. Really, this says alot in my case.
4.Intelligence- Lara wins in this for sure. The smartest I've seen Lady is during her fight with Dante when she used the library as her advantange, other than that she was basically looking kick- a$$ while shooting a bunch of demons. Meanwhile, Lara was doing her own thing trying to find the next clue in order to move onto the next puzzle.
5. Gunsmanship- Like I said before, Lady shows great gunsmanship. She knows how to use each of her weapons to her advantage, while Lara only has two pistols, which she mostly uses to defend herself.