  In the context of von Neumann projective measurement scenario for a qubit
system, it is widely believed that the mutual orthogonality between the
post-interaction pointer states is the sufficient condition for achieving the
ideal measurement situation. However, for experimentally verifying the
observable probabilities, the real space distinction between the pointer
distributions corresponding to post-interaction pointer states play crucial
role. It is implicitly assumed that mutual orthogonality ensures the support
between the post-interaction pointer distributions to be disjoint. We point out
that mutual orthogonality (formal idealness) does \emph{not} necessarily imply
the real space distinguishability (operational idealness), but converse is
true. In fact, for the commonly referred Gaussian wavefunction, it is possible
to obtain a measurement situation which is formally ideal but fully nonideal
operationally. In this paper, we derive a class of pointer states, that we call
faithful pointers, for which the degree of formal (non)idealness is equal to
the operational (non)idealness. In other words, for the faithful pointers, if a
measurement situation is formally ideal then it is operationally ideal and vice
versa.
