Are there more difference between All Might / One for All quirk and Re-Destro quirks other than how the power is accumulated?
In Chapter 213, many difference between One for All and Stress are shown. Spoilers for the chapter:


   1. The chapter shows that Deku can communicate with former users of One for All. This was foreshadowed in previous chapters. It is this link with former users that allow him to break out of brainwashing, something Re-Destro has not been shown to do. 2. One for All not only stores power, it also stores the abilities of previous users, allowing Deku to access abilities such as Blackwhip. This allows for a versatile skill set beyond speed and strength. 


More differences may appear in the future, but these are differences that are known for now.