The existence of the totem is not what proves whether or not they're in a dream or reality - it's the accuracy of it.
Arthur tells Ariadne what his totem is, but doesn't let her touch it. But, how is it weighted? Which side does it lean? How heavy is it? As the architect, Ariadne could insert a loaded die into one of the designs, but she could never get all of the exact details just right. If any of the details are wrong, Arthur would know that he is in someone else's dream.
From the script
COBB
She'll need a totem.
ARIADNE
What?
ARTHUR
Some kind of personal icon. A small
object that you can always have
with you, and that no one else
knows,
[...snip...]
ARTHUR
So. A totem. You need something
small, potentially heavy...
INT. BATHROOM, WORKSHOP - CONTINUOUS
COBB takes out his PEWTER SPINNING TOP, SPINS it on the
marble counter...
INT. WORKSHOP - CONTINUOUS
ARIADNE looks at ARTHUR, puzzled.
ARIADNE
Like a coin?
ARTHUR
Too common. You need something that
has a weight or movement that only
you know.
INT. BATHROOM, WORKSHOP - CONTINUOUS
COBB STUDIES the spin of the top as it decays, becoming more
and more ECCENTRIC...
INT. WORKSHOP - CONTINUOUS
ARIADNE
What’s yours?
ARTHUR
holds out a DIE.
ARTHUR
A loaded die.
ARIADNE reaches for it-
ARTHUR snatches sit away-
ARTHUR
I can’t let you handle it. That’s
the point. No one else can know the
weight or balance of it.
ARIADNE
Why?
ARTHUR
So when you examine your totem...
INT. BATHROOM, WORKSHOP - CONTINUOUS
COBB’s spinning top WOBBLES OVER.
ARTHUR (O.S.)
You know, beyond a doubt, that
you’re not in someone else’s dream.
So just the existence of the totem at the end proves nothing. The devil is in the details - and we're never told whether or not all the details match.
Following this...
- The existence of your totem in a "reality" does not prove anything - unless no one knows of the existence of the totem at all. (example: if Ariadne does not know of the existence of Arthur's loaded die, it's a VERY slim chance that she would randomly put one into a dream design.)
- The accuracy of your totem proves that you are not in someone else's dream.
- Your totem cannot be used to prove whether or not you are in your own dream.