I'm way past induction, but even on induction I ate cheese and nuts. I believe Atkins says not to (not that he says this, this is just what I believe) eat these things on induction is 3 fold.

1. People on induction may or may not already be in ketosis.
If you are not in ketosis you will not have appetite suppression and stopping yourself at one serving of nuts or
the alotted amount of cheese might be very difficult.

2. Carbs. Because people on induction are trying very hard
to keep carbs to 20 counting these kind of carbs take
a "serving size skill" yet to be developed after a while on
Atkins. Many ask "what is a serving size" when new.
Only to find out later that they ate WAY more cheese or
nuts than allowed - overdid the carbs - not what you want
to risk during induction phase.

3. It's the salt stupid. (no offense). Cheese, most cheeses
are a high salt food/usually 1 oz brings with it at least
150 gms salt or more. Not alot in one serving, but 1 oz
of cheese is about the size of a large marble - and it adds
up fast. Nuts unless natural and unsalted are high in salt
to when one serving turns to many many more.
Why does salt matter? During induction, the body is
losing unecessary water - as the body releases stored
excess water due to carb overload prior to induction.
Eating excess salts can prevent this initial waterloss and
delay eventual fatloss - that normally follows the immediate
waterloss (as I understand it)...why people lose so much
weight initially is a combination of the two.

My solution. I ate a little cheese and nuts during induction. The cheese was low salt and I kept to my allowed oz. My nuts were naturally unsalted too and I kept to proper serving size and counted those carbs carefully.

Now - I eat peanutbutter (unsalted no hydrogenated oils, no added sugar) like a foodgroup of it's own. I never exceed 2 full tablespoons a day = 4 effective carbs (7-3fiber).
I do not eat cheese, maybe rarely a sprinke on something is all I need. More I find very uh, "binding"...

So that's what I think. Not saying I'm right, just my 2 cents.

Safest bet? Skip the nuts and cheese for 2 weeks of induction/it won't kill ya. Don't worry about it if a sprinkle of either shows up on your chicken at some restaurant. Just don't go buy a jar and eat half of it or down a chunk of cheese the size of Texas during induction.

Peace.