Yea, response time is to do with the panel and how quickly it can change its pixel to one colour value to another.
Input lag is harder to distinguish because no manufacturer actually list how quickly a TV can process signals coming in via the AV inputs to screen - that's where the majority of input lag comes from. Can turn off post processing/image enhancements (known as game mode) so the input signals don't get pin balled around so much and just hurry up and get on screen so to speak. Its common for TVs to have this mode.
Need to have some faith in people and reviews i think.