In electrochemical impedance spectroscopy you are mainly dealing with cole-cole plot(Z'and Z'') with frequency, but with impedance analyzer also you can extract the same data ,taking care of the proper dimensions of your sample and also the proper calibration of short and load .
I also see no difference. For some "technical/electronics" people, IS and EIS are basically the same, the "EIS" is possibly just including the electrochemical reaction, hence the E in EIS. The electrochemical reaction take place "outside" of the instrument, so the IS spectrometer is the same.
Methods for plotting/representation of the data are secondary, whether it is cole-cole or nyquist, the spectra is still the same.
Also, galvanostatic or potentiostatic (although the names seem wrong, there is no "static", you have to periodically vary these to see impedance) IS are basically the same, impedance is a physical quantity by definition, for some processes it is better to do it with varying "U" or "j". Sometimes for large cells, with even a small U you can get huge currents, so maybe it would be better to use current perturbation and measure the voltage.