You can calculate the error yourself for the most recent experimental values of the Higgs vacuum combined with the numerically calculated lambda from the paper linked above. You get a Higgs mass of 129.6 ± 1.0 GeV at two loops. That's more than three standard deviations from the current Higgs mass measurement. So Hossenfelder's video is - as often - some outdated half-truth. At the current level of research, these values very much suggest that there is more to the Standard Model than we know below the Planck energy. Her whole shtick of bashing CERN always falls apart when you look a bit closer, which is why she only does popsci now and noone in the field listens anymore.
That being said, I still believe that asymptotic safety in quantum gravity is a really cool idea and it's well worth pursuing. It deserves better than to be used as a hammer for people bashing other legit science.