Move on insinuates there is a place to move on to. Where? From the OP:
it’s a pretty commonplace thing on EUNE but these two flamers were extraordinarily abusive.
When you tell someone who regularly faces abuse to move on from one instance and on to the next, and on to the one after that, it creates a dynamic where the abused party is told to keep trying new lunch tables rather than any number of tables making room for them.
Perhaps the misunderstanding is because Riot's on-the-tin philosophy is inclusivity, not "remediating chat restrictions for women." They likely want every player to enjoy every feature of the game they maintain.
On to personal snippets:
If you learn how to not take words so personal
If only it was personal, at least then the problem would be specific enough to not experience as often. This wasn't incited over a personal matter, it started because of a username and its underlying, implied identity.
This is also another 'move on' situation. What should she take it as? A joke? A compliment? Banter? Another example of those wily EUNE boys being boys? I would suggest the notion that it is less healthy to repress feelings of extreme discomfort over something a person said to you, trying to fit a template of the "can't phase me' archetype, than it is to just be upset at upsetting things.
Further more seems to me like additionally pursuing this even after simply reporting is a bit vindictive behavior which is also not really good for ones health.
Wanting a solution better than "report them and move on" is not vindictive. Especially when the OP even feels like this: "I’m sure they keep doing it each game they spot a female player." There are so many other motives OP could have for reaching out than 'revenge' or 'being validated.'
I was just curious why you think that advising someone to take care of their own health is not helpful advice?
You're conflating one philosophy for self-help as the only solution, when there is no clear & discrete solution. That is why support is so important, to uplift sufferers while everyone works together to figure out how the f**k to solve this misogynistic mess. The mode suggested by 'move on' is toxically individualistic and pertains to the notion that you are somehow responsible for the stones thrown at your own identity.
Perhaps dumb f**king gamers being vile should be treated as a real issue and not a support ticket? That gets close, I feel, to what MoriGrl is putting across.