What does emotionally on the same page mean?

The expression "on the same page" means that two individuals, or a group, agree

on a topic or method or decision they are studying, testing, or discussing.

To be on the same page emotionally simply means that they concur both in

testing or other means of research and also are impassioned or zealous; the "emotion" part means that their decision is satisfactory to them as to their mindset and their beliefs and intents.