Okay, you are wrong here.
I have always lived within a very short distance of every rehomed dog and in constant contact with the new owners.
I never even had to go and “address any issues”.
When I train a dog, it stays trained.
[yeah, I’m just that damned good...let’s call it a “gift”]
In fact, for years, it became very time consuming because other people were always bugging me to come and “fix” their dogs...or horses.
Well, that is discourse... so, let’s regroup and try again.
You didn’t really answer any of the questions. But, you did provide some interesting information which I will now use to reframe, perhaps, better questions.
You stated that you live close to and keep close contact with all the dogs you “work” to make better.
So, you’d likely have to say, that you are pretty special in that... most doggies out their, aren’t gonna end up with you... I mean, you are “there” wherever there IS... and there are more dogs than people, so, I’d be pretty safe in saying your very unique situation doesn’t cover the larger group of all dogs...
So..
Let’s try it from the hypothetical... or if that doesn’t suit you, we can just use this very article and call it hypothetical as well as factual. Covers it well.
An unknown adult doggy, given up by somebody for some reason, is A) More... B) Less... or C) No more or no less.... Likely to have risks greater than a new puppy?
Pick! A B or C.