[greiskul]

One nitpick, even if you have have an action that stops the loop, you are not necessarily required to take it, and can choose the draw instead.

719.5. No player can be forced to perform an action that would end a loop other than actions called for by objects involved in the loop.

The rule about choices in mandatory action comes into play for cases like an Oblivion Ring loop. If there is another valid target for the oblivion ring, you must choose it instead of forcing a draw. You can't say that you always choose the opponents Oblivion ring.