Sure, we have a feeling for when to use one and when the other, but a feeling is not a physical theory. Also, the Lambda CDM literally doesn't explain what 95% of the universe is made of and how it behaves, it simply posits that it exists. So even if the Lambda CDM is perfectly correct, it's still extremely far from a complete model.
Not to mention, the reason the tension between GR and QM is not very prominent is that we don't know how to conduct "medium scale" experiments, even though the vast majority of physical objects on Earth are in this medium scale: far too big to count particles, too small to measure observe gravitational bending effects. Basically, both QM and GR are completely useless for telling you what happens in compel scenarios like two billiards balls colliding on a frictionless table. They both have equations that are far too complex to actually solve for anything like this. And QM is even worse - even if you could solve the equation, it doesn't tell you what the balls will do, it only tells what chance they have atof being at some position with some velocity and spin if you were to measure that, whatever "measurement" might mean.