When the results indicate that established theory is not correct then yes, that is obviously important. But confirmations of well established results are only important when they test the theory in previously untested realms (e.g. a measurement that tests general relativity to a greater level of precision or in stronger gravitational fields than previously performed). Confirming the non-exitence of time travelers by failing to find evidence for them on the internet is like confirming the non-exitence of leprechauns by failing to find pots of gold at the ends of rainbows.