Yup when it comes to adding chemicals a proportionate measure is the correct way to go.
Yeast however is a living organism so the same rules don't apply.
When first introduced to a wine must they multiply like the clappers using oxygen dissolved in the must,But produce very little alcohol despite dropping the gravity.
After the oxygen in the must is all used up then they convert the sugar to alcohol,BUT do very little multiplying.
High alcohol fans dose their musts with huge quantities of yeast.
Overall it seems that a lack of a thriving yeast population is the root of what has happened here.
This is not too much of a problem as long as you keep your must sterile.
EC-1118 is just about the toughest yeast going so that is also on your side
You also stand a good chance of being able to carbonate your "champagne" when the time comes.