Well if you consider that the tulpa doing it on it's own then no I can't think of any specific exceptions. Most tulpas can't do that trick though.
Well if you consider that the tulpa doing it on it's own
Well, let me put it this way: suppose my tulpa composes a sonnet (call that event E1), recites that sonnet using my vocal cords (E2), and writes the sonnet down using my fingers (E3).
I would not consider any of those to be the tulpa doing something "on its own", personally. (I don't mean to raise the whole "independence" question again, as I understand you don't consider that very important, but, well, you brought it up.)
But if I were willing to consider E1an example of the tulp...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.