I’ve used this method many times with no failures so far. Anytime I have something made of plastic that has cracked or broken, I drill two small holes on each side of the crack and put zip ties through them. I don’t use this on anything that’s under a lot of pressure (e.g. the legs of a plastic lawn chair), but I’ve never had it fail on anything. Here’s an example:
I’ve even used different color zip ties to make them blend in, and often times people don’t even notice. I wasn’t concerned with making this blend in, and didn’t have any black zip ties on hand.
EDIT to add more pictures:
These both have zip ties holding them together, but they’re harder to see. Neither was broken completely through, but both were damaged: