Common-collector output resistance and common-base input resistance
Yes - as mentioned by G36 in his comment, the resulting base resistance causes negative feedback for any testsignal that is applied to the emitter node (in contrast to common-base). 

As far as I know, this feedback effect is not mentioned in the textbooks.

This current-controlled voltage feedback increases the input resistance at the emitter node above the expected value of 1/g,e. Applying the classical feedback formula gives the expected (and well-known) expression for the input resistance r,in atthe emitter nde. 

(in the drawing, "a" stands for "alpha" and "b" for "beta".)







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