Toilet carrying handle

So a while back I bought this toilet carrying handle so it would be easier to set toilets that have no grip or to set a heavy mono piece. Same principle to remove them. I like the idea except it is real flawed in the sense that the handle can slip sideways and the toilet falls off. The toilets fell off a couple of times so I stored it away. Now I want to remedy that problem because when it doesn't slip it make carrying a toilet a lot easier.

Any suggestions? Longer rubber contact like a half moon or maybe a cross bar?

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