I reckon that the question is not "Should I do the FI training?", but "Should I teach after competing the training?". Doing the training can only improve your skills, so it can never be a bad thing. As for the other question, well that's up to your instructor. If s/he throws everything at you and you handle it well, then why not? On the other hand, if you struggle with the strange situations, then even if you hold off the teaching for a while (or forever), you've still learned something more there too.
In summary, go for it.