Differences between "stasis" and "stopped"?

So, in Heroes of the Storm, there are those two effects who look the same to a certain extent, like when you're put into stasis or into stopped, your hero can't do anything and can't be attacked.

Sometimes that saves you, sometimes that sets up enemies to combo you.

But are there other things that can happen between a self/ally stasis and an enemy stasis?

The only thing I could think of is self/ally stasis doesn't freeze your cooldowns where as enemy stasis does, but is there anything else, like your regen?