Hi,
it's because I suspect it doesn't exists. What could be happening is that the repeat button is a special component that indeed use the normal button skin.
I would think that in a real world project that doesn't matter much, since you would need to create a skin anyway, then you can create your own repeat button.
also, could you explain what's not working on your rotate feature, you seem to say it's not working well also.
bye,
Jean