Oh, Nesa's never going to turn down a hug - she's not that silly. Sure, she's mentally resilient and psychologically a lot more sturdy than most of the people she worked/s with, but she's also well and truly aware that mental health is a process, not a prescription. Hugs are a big part of that; so is grieving, and particularly being able to express the grief and take the time to process it.
This is part of the reason I have her busy kicking at my brainstem about getting Cloud Strife in for a talk - boy's been through one trauma after another, and he's certainly not had time to process any of them (just bounce on to the next one). So he's well and truly overdue for a bit of thinking time, and a bit of space to get things off his chest and such.