I get that questions 1 and 2 were related. Gender issues aren't the only issues for which safe spaces exist -- as a little thought experiment, let's recast the questions with domestic violence as the issue. Would you think it's reasonable to ask:
1) If domestic violence is encountered in a jurisdiction with laws that forbid it, shouldn't you go to the police instead of withdrawing to a safe space?
2) Are safe space signs sending an unintentional message that it's OK to be commit domestic violence, just not here?
If you think those are reasonble, then the conversation is over. If you think they're not reasonable map them back onto the issue of providing safe spaces to LGBT folks and ask if they really just amount to blaming the victim for being victimized. That's how it read to me.
If yours was a sincere question about adults in a corporate environment being comforted with cookies and coloring books then I'm sorry I mistook your simple naivete as a disingenuous swipe at the people involved.