Reddit Now Lets You Livestream. What Could Go Wrong?
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No mentally healthy adult is going to drop into fetal position and commence a nervous breakdown because Tim snubbed their toe and went "fuck fucking shit".
As long as the swearing isn't directed at coworkers or some racial slur, who cares. If anything it might lighten the mood.
The kind of theoretical place your post is alluding to sounds stuck up and devoid of humanity to me. And also probably doesn't exist. Hopefully. I wouldn't put it past some US companies.
SFW was originally used to tag content you yourself can watch at work without experiencing the awkwardness of having a bunch of penises/breasts/whatever on your screen. It was never meant for creating safe spaces for victims of pathological parenting.
I can only assume that this is what reddit means here. It would be similar to Twitch in that regard (i.e. no nudity).
tl;dr: Nobody will ever care that you're reading/watching the recital of a poem consisting entirely of swear words while giggling manically over your lunch.