So let's say you set 5 minutes render limit.
You render your scene with one light, which is dim. (A)
Then you boost the light exposure (in its settings) and render again. (B)
Then you render the dim light again, and boost its intensity with LightMix. (C)
The differences:
-C will be more noisy than B, especially if the exposure boost was extreme (which is not recommended with LightMix anyway) - this is because in cases A and B the light will be sampled efficiently, and in case C the light will be sampled based on its low intensity, and then it will be boosted
-longer render time will be required to render LightMix-boosted light to the same quality as the settings-boosted light. In some cases, if the LightMix boost was extreme, the noise may even never go away.