I think the problem is that large LSPs actually have some control over funds as they can close more channels on old states than can actually punish them for doing so (What's the term for this attack?).

If there was no way of stealing users' money, reputation would be less of an issue and the stability over TOR ... I'm sure we can fix this. How about TOR nodes that take e-cash for routing? TOR only adds few hops to the route so it shouldn't make LN payments impossible unless the network is saturated which paying for the service should be able to solve.