Well, the issue I'm alluding to here is the issue of avoiding collisions. Even the password generator will not create the same long random passwords precisely

Well, the issue I'm alluding to here is the issue of avoiding collisions. Even the password generator will not create the same long random passwords precisely because they're random and long... So even with a password generator these are still long random passwords that no user would create on their own and therefore do not collide with the honeyword passwords. Also, the combination of password generator and honeyword is actually even more secure than either one; in a "Greater than the sum of its parts" kind of way.