Bitcoin doesn't require weekly check-ins, but Good to know (thanks) - that's a less extreme requirement for Lightning. However, being online wasn't a main pressure for the potential problem of central hubs.

(e.g. the large parked capital requirements acting as a barrier to entry, fees - if bitcoin is to be a low-volume settlement layer - plus people wanting to keep spending money consolidated (i.e. opening as few channels as possible) while still getting the benefit of complete payment connectivity)