My only concern is the light and noise. Their cage will be covered but I will be up weaving and listening to something sometimes, not daily. Will this disrupt sleep and potentially cause avoidable issues?
If you want to bring them in to avoid morning crowing, you might just do it later on nights you want to weave. But if bringing them inside before you weave works better for you, I wouldn't worry about the light or the noise harming the chickens.
Light will probably keep them awake, so they may get bored and pick at each other in the crate. If they are in the dark, of course they will just sleep in there. But if you are in there weaving, you will notice if they are picking at each other, and can decide what to do about it.
Long days in the spring and summer (or artificial light in the evening at any season) can encourage egg laying, so you might get more eggs if they regularly have extra light at night. Inconsistent light (some days but not others) might not cause them to lay as many eggs, but I don't think it will hurt them either.