I wouldn't -- but then again, my landlord wouldn't have the option of "pausing" my home the way the hosting service has the option of pausing a customer's VPS, so it's more reasonable to expect the landlord to come in since that's the only way to mitigate such damage. If my landlord came in when I specifically asked him not to just to make sure my lights were turned off, though, that'd be another story; at that point, I'd start wondering whether turning off the lights was just a pretext for entry to my home.