I have suggested to a few members to leave the forum.
HOWEVER, I have not seen anyone, myself included, to ask someone that is suicidal or at a very fragile state to leave the forum. Rather the opposite, we ask them to update us on their journey so we can see if they are doing better nor not.
The times I have suggested members to leave the forum is when it is clear that 1) the person is not mentally very fragile 2) seem to be stuck in their habituation and cannot progress because they keep going on TT which makes them think about T 3) they would benefit a lot to leave for a while and come back when they feel better.
In all cases, it has been out of caring. Being here might cause some more anxiety, others keep thinking about T if they keep read about it. I felt really bad at onset and kept going on TT which just cause me more pain. I left for a while and when I came back I realized I had detached my feelings from TT, meaning that I could read about T and people's stories (good and bad) without feeling anxious.