The way I understand it (done a bit of research, no personal experience) is that these are excellent for running if you use the correct technique for them (and some would argue, running in general) which is midsole striking using a technique like "POSE". If you run as you did in big cushy runners (heel strike) these will cause insane amounts of pain. I've been looking into it a bit since I know my running technique is terrible and want to learn something like POSE/midfoot strike for more efficiency/less pain on distance runs.
For weightlifting, cushy shoes suck, so yep these would be awesome, especially for deadlifts (comparable to barefoot). For squats, if you are doing a narrow stance/oly style, then oly lifting shoes with heel wedge would be better, although these would train more ankle flexibility.