Exactly ! which is why type specific aerobatic training is so relevant. I think even experienced aerobatic pilots who were planning to convert to a different type say T67 to a Pitts for instance would spend some time in their differences training exploring the unique characteristics of their new type related to spinning and recovery from unusual attitudes. I'm no expert on the TM but I'd consider the transition from a C172 to Tiger Moth to be quite significant in terms of handling, especially for aerobatics given the high drag and relatively low power of a TM.