I propose that by changing the design of public toilets and changing rooms, we can keep everyone safe.
Pic 1 - how most public toilets are now. Small, dark doorway into dark space that can't be seen from the outside. I've often worried that there could be someone hiding in there waiting to do me harm. Would not let my daughter in there alone. Would not let my son go in the gents alone.
Pic 2 - unisex cubicles (floor to ceiling) all with an individual door onto the street. Pull open the door and see the whole space - limited room for someone to hide. Door obviously lockable from inside. No more worrying about where to send your child whose sex is different from yours.
Changing rooms could be similar - individual cubicles straight off the shop floor. No more David Lloyd-style open changing spaces where you fear dropping your towel and flashing everyone.
YABU - changing rooms and toilets are fine as they are
YANBU - changing the design would be better for everyone.