I'd have to check, but I am reasonably sure that the LALOs train and liaise with their counterparts in the emergency services quite a lot so I'd be amazed if the council's response failed because of them.
I would be much less amazed if it transpires that the council's response failed because the senior council types quibbled over, or couldn't provide, the amount of support the LALO called for. Given how they have behaved since (especially if these claims about them rehoming people out of London are true), I think quibbling is the more likely.