Going to guess that the 2nd reason is actually something powerful.
1st reason is sorta harassment so what reasons do they have to listen to that.
2nd reason has to be something worthy for Sofue to bring to the professor meeting and not ignore.
So it could be a blessing to Katou but Noguchi views it as a curse
She would have to spend her entire life changing the department, with him looking over her shoulder. Should she fail, she would know everything is pointless. She has to devote everything to change, sparing no energy elsewhere like making a family.
Noguchi knows she can change thing, so his line is instead of stopping her, to push to do everything in her goal.
In regard to the intern, he would say he supports that,and double down that Katou have to let other interns work in the future [so Katou can't just say it him] so interns mess up,it on her.
I'll support you,but let see if your path is truely clean. If it is sure. If it not,you will have a greater fall then him.