My account of the paper's argument is likely to be quite inaccurate and incomplete, so it's best to aim critiques at the paper itself. Does Bohmian interpretation count as one of the standard ones?
As far as I can tell, the conservation of algorithmic information was the big speculative thing in the paper. It's not ontologically basic woo, as in mental intentions irreducible to basic physics, but I"m guessing it's not standard QM either.
Bohm is one of the standard interpretations. It's more complex than MWI (the wave function, plus an independent "pilot wave" to make only the visible part of the wavefunction "real"), and it involves faster-than-light time travel, but is supposed to prevent said time travel and FTL from ever allowing information to be communicated thusly.
Gary Drescher has a section in his book, Good and Real, in which he presents the arguments for MWI and notes the frequency with which the other interpretations are used to justify woo (FTL and time trav...
Ben Goertzel has a rather long psi-related article in Humanity Plus Magazine, apparently prompted by the recent precognition study to be published in Journal of Personality and Social Psychology. He's arguing that psi is real and we should expect to see the results of this study replicated.