I'll start this by saying I didn't do this, because I felt too guilty, and I'm not sure how unreasonable it is!
I have a 6m old, and the other day, I was shattered as she'd basically been feeding all night. Would it have been UR to lie on the bed with her, her with some toys and me reading a book? I know you can't interact with them all the time, and I leave her with toys when I have to tidy up or have a shower (always in the same room as me). Is it wrong to leave her to play "independently" when the thing I'm doing isn't essential?