Yes the different form of olive oil make a difference.
Any olive oil with additives will be different. Look on the label and check what the ingredients are.
EVOO and light OO should react the same in soap and should feel the same.
Pomace accelerates soapnification.
Some olive oils, especially in the US, have been doctored and might not contain pure OO.
We get good, unadulterated olive oil in Australia and the customers like EVOO.
I wouldn’t use pomace in soap as the OO is extracted using chemicals and I don’t want them on my skin. Many people in the US use pomace but I personally think you should label it as pomace, so the customer has the choice to avoid it.