Not a real advantage just saves electricity, it is mainly good for laptops. The only thing I can think of is in case of a power failure, your current contents will be lost because in hibernate 0 they are stored in the RAM. While if in hibernation (25), they will get restored because they are imaged from the RAM to the SSD, thus conserved.
But this is amazing that your iMac wakes up normally from hibernate 25, I don't think that anyone has been able to do it yet in a 2013 iMac model. They all get hibernation issues. Can you please post in
this thread all the details about your configuration and upgrade parts you used (adapter and SSD). Also what is your bootrom version (on my Late 2013 27" iMac it is 133.0.0.0.0), to check it click "About this Mac" -> "System report" and there it is displayed next to "Boot ROM version".