I have started some rough literature researches - and the result is: Yes - we can find two different approaches for building a small-signal equivalent diagram for the common base (CB) case.
It is common to represent the BJT alone using a current source (gm*Vbe) between collector and emitter.
This applies also to transistor amplifiers in CE and CC configuration.
However, it is true that for CB configurations we have two choices:
1.) For the current source itself it makes no difference if it is connected to the (grounded) base or to the emitter because the input voltage source (at the emitter) provides a short to ground.
2.) If the controlled current source is between C and E it is NOT possible to divide the input and the ouput part of the circuit into two separate parts. As a consequence, the equivalent circuit diagram contains an input resistance that is identical to the CE and CC configuration (called hie or h11 or r(pi) ). In this case the current source Gm*Vbe must be considered during input resistance calculation (and causes the total input resistance to be rather small: 1/gm).
3.) Similar to the CE and CC case it is desirable to have no current path between the input and the output part of the circuit. Therefore, the current source in this version of an eqivalent small-signal diagram contains a a current source between C and ground (base). However, in this case, the left-sided input resistance must have the final value of 1/gm.
4.) Summary: Two versions are possible (current source between C-E or C-B), but the modelling of the input resistance also is different in both cases.
EDIT: As an example, in the second referenced document (*.doc) consider the second form of the equivalent small-signal diagram. Both parts are not connected via a current path. But you can lift the ground connection of the current source and connect it to the node E. The current still goes (through the signal source) to ground, but the value of the input resistor must be chaged at the same time from a low value (1/gm) to some kOhms (hie=h11=hfe/gm=h21/gm)