Quantum fluctuations are not dynamical processes inherent to a system, but instead reflect the statistical nature of measurement outcomes.

I'm no expert at all, but while that sounds agreeable on an intuitive level, I've read that the opposite is true - ie that QM processed are inherently fuzzy

I don't quite understand why you think that this is the opposite of what you quoted. The point is that the "inherent fuzziness" is there, but it is not because of literal unobserved "fluctuations" of the system over time. Speaking of "fluctuations" as if they were actual processes happening in time is poetic language (and all physicists understand that it is poetic language. The process of trying to explain QM to lay audiences generates a huge number of attractive but incomplete oversimplifications like this one).