Why I Think Chloe is a Skilled CQC Fighter:
So, I wanted to cover in slightly more detail why I tend to think that Chloe is a genuinely skilled fighter and why I feel it is supported by at least the first three seasons of canon materials in MLB.
1: As Anti Bug, Chloe was able to combat, match and then quickly overcome Adrien in closed quarters combat. One could claim this was him holding back due to friendship but that'd be even more of a HC and he looks pretty comfy.
One could claim it was just because he needed to be in peril for the story but the fact is that still means he lost the fight.
2: In Maledikator Chloe demonstrated strong martial art based kick forms, which by itself is fairly minor but these things add up.
3: During Heroes Day, Chloe does demonstrably better than the other two reserve heroes and is even able to cover for them wen they are unable to fight.
She also l lasts even after they begin turning and needed to be ambushed to be removed from the fight.
4: During Miracular, Chloe has a one on one fight with Mayura in which she does very well and given Mayura is one of the top fighters in the setting I feel that says a lot.
5: This is also where she expressly demonstrated Street Savate style martial arts moves which no other character does. This indicates its a Chloe thing not a Miraculous user thing.
6: This last bit is more of a HC than the above, but it does feel worth keeping in mind both Adrien & Felix were expected to learn a martial art. So it seems like this may well have been normalized among them and so would not be particularly unusual.
Conclusion: Ultimately, Chloe shows herself to be very good fighter.
What's more, she does so with enough frequency and in unique enough circumstances and ways that it does not feel like animators just being careless or having fun. Otherwise we'd see more of this from others. The fact that Chloe stands out here is notable and as whether one takes her as knowing a specific martial art or not is besides the point that Chloe is evidently very tasty in a fight.
