I don't think there is a right or a wrong Qi wireless charger, is there?
The Samsung Note 5 is supposed to be Qi compatible... The new charger supports wireless quick charging, but that doesn't mean that you shouldn't be able to use a standard Qi charger and accept a slower charge...
Same with the adaptive fast wired charger... Granted, it is a better charger for the Note 5...but that doesn't mean that you can't use a standard charger without any issues...
My take is that the standard wireless charger has a design flaw or there is a batch of defective chargers that left the factory... The standard Qi charger should work correctly, but it doesn't...
That said, I do want the fast charger that you mentioned is "coming soon"... Love the faster charging!