[Accelo]

The puller on eBay is similar to the factory puller. I believe the jaws are too long and possibly it is missing the legs to catch the inner lip.

Update;
I did get it off without damage. I used a three jaw puller with the jaws reversed. Still wouldn't pull it by itself.
However, with some tapping and tightening and some more tapping and some more tightening of the puller it finally came off.
It would be extremely easy to damage the lip with too much force on the puller.
Some crud and a little rust was holding it tight.
Here is a pictures of the process;