At risk of relying totally on assumptions, that wouldn't be a surprising reaction for someone facing first serious criticism after an entire life of probably being unconditionally lauded for their smarts (or the projection of it). When parents push children towards something relentlessly without providing any constructive feedback on account of living their dreams through their children and/or the fear of discouraging the child, any criticism can feel like someone is trying to destroy your life goals.
> Their supervisors tell me that they are close to firing them but then also celebrate all the publications they are getting.
Probably trying to protect themselves from being in the crosshairs of one of many things that can blow your career apart.