I agree 4GB is not enough for 24 hours. It depends on what the developers mean by "the Mobius does not loop when recording time lapse video." Does that mean that all recording stops after 4GB or does it mean that the camera just does not automatically erase old videos when the card gets full? In the latter case, a 32GB or 64GB card might work, but you would have to erase/format every few days.
Someone mentioned that the Mobius ran cooler in time lapse mode(s). With less heat overall and fewer data transfers to the card it seems
possible for a camera to support 24/7 operation. But as you and
@jokiin mentioned, whether or not such operation is
practical is a different matter.