Regarding "intent to do training"....
1) It's not spelled out in the regs.
2) But the concept has been clearly established FAA enforcement precedent in the context of if you're going to log dual, there had better be a REASONABLE intent and expectation that training is occurring...this is to prevent folks from sitting right seat in single-pilot airplanes and logging zillions of hours as "dual received". But there appears to be reasonable latitude as to what legit training could be, not just training for a cert/rating/FR/IPC but also club checkouts, insurance checkouts, aircraft fam, route/area fam, etc. Reasonable limits on the amount of hours logged would apply, based on what's realistic to accomplish the task at hand, ie you can't log 400 hours of dual XC in a seminole and justify that it as "aircraft fam" or training for an ME/MEI.