Omegle was a horrible place that was not moderated enough and enabled groomers. It was also a place that felt very "old school internet" due to the "wild west style".
And what's wrong with that. The current internet feels like a playground where we are forced to fall in order to the wall garden owner.
When you use the internet you should have the sense that the domain your going to access requires yourself to need to apply self caution.
Letting a 11 year old online without supervision is just lazy neglected parenting.