It's doubtful that Atkins knew of, and cataloged, every possible low carb
product. Try thinking for yourself.

you can drink it if you choose, but know that if you do so you are not
following induction.  

until someone comes up with Induction Mk 2, no one is going to able to answer
you that question.  Induction list is as good as it gets at the present.
Personally I am hoping that someone will summarise the Induction list into a few
rules which are more or less as effective as the Induction list, but that is not
happening anytime soon.

Sure but it doesn't change the answers.

There is more to Induction than counting carbs.  You
can't have 20 grams worth of candy bars and nothing
esle but meat and water, either.

You have missed half of the Atkins process by focusing
on carb counts.  There are other reasons that legumes
are later in the carb ladder no matter that soy happens
to be low in carbs.  Legumes have a higher chance of
food intolerance issues than foods earlier in the carb
ladder, so legumes come later even the low carb ones.