  Topological entanglement entropy has been regarded as a smoking-gun signature
of topological order in two dimensions, capturing the total quantum dimension
of the topological particle content. An extrapolation method on cylinders has
been used frequently to measure the topological entanglement entropy. Here, we
show that a class of short-range entangled 2D states, when put on an infinite
cylinder of circumference $L$, exhibits the entanglement R\'enyi entropy of any
integer index $\alpha \ge 2$ that obeys $S_\alpha = a L - \gamma$ where $a,
\gamma > 0 $. Under the extrapolation method, the subleading term $\gamma$
would be identified as the topological entanglement entropy, which is spurious.
A nonzero $\gamma$ is always present if the 2D state reduces to a certain
symmetry-protected topological 1D state, upon disentangling spins that are far
from the entanglement cut. The internal symmetry that stabilizes $\gamma > 0$
is not necessarily a symmetry of the 2D state, but should be present after the
disentangling reduction. If the symmetry is absent, $\gamma$ decays
exponentially in $L$ with a characteristic length, termed as a replica
correlation length, which can be arbitrarily large compared to the two-point
correlation length of the 2D state. We propose a simple numerical procedure to
measure the replica correlation length through replica correlation functions.
We also calculate the replica correlation functions for representative wave
functions of abelian discrete gauge theories and the double semion theory in
2D, to show that they decay abruptly to zero. This supports a conjecture that
the replica correlation length being small implies that the subleading term
from the extrapolation method determines the total quantum dimension.
