Meh...public toilets worry me. They worry me because they are concealed, hard to escape from places. They worry me because a 13 year old was raped in a toilet that I used to frequent regularly (I have never used those toilets again). I educate my children that it's safer to go to the toilet with someone, just like I educate them to walk in pairs or a group at night.
My kids have a lot of independence for their ahes. I'm not worried about any fear I might be inflicting on them. I grew up with one of the world's most anxious mothers, who was raised by THE most anxious mother...and I'm super relaxed. My mother inflicyed nothing on me, except the gratitude that I feel from not being an anxious person. My mum raised me and my brother to be fiercely independent, capable people despite her irrational fears (of which she had, and still has, many). I'm not worried about my kids at all.