There's more than resistors on logic board. Also, by even touching component leads with multimeter probes is sometimes enough to connect the joint back thus foo

There's more than resistors on logic board. Also, by even touching component leads with multimeter probes is sometimes enough to connect the joint back thus fooling you to think connection was ok. Also, the problem might as well be one of the numerous chips in BGA packages whose connection points you can't even see, let alone- probe.