Your idea is just that - your idea.
Term safe space is being perverted by people who can't cope with feelings caused by reality of every day occasions - they're "triggered" for every thing they feel non happiness.
It's a direct result of being pampered from primary schools on with "everybody is a winner" trope. America is specially obsessed with happiness and if somehow someone is causing icky feelings, these people scream about "safe space" - it's what they've been let all these years anyway.
When a YALE student can't debate with a proper tone with the teacher: https://www.youtube.com/watch?v=V6ZVEVufWFI