On top of that one central element of the character was that Thrawn was acting for the greater good, meaning he was supporting the empire for good reasons, reasons beyond the scope of the galactic civil war. In the EU it boiled sadly down to the Yuuzhan Vong, but there are plenty of more interesting threats in the unknown regions and Disney can develop anything for this, but the core of Thrawn is to use imperial power to establish order against very dangerous adversaries outside of the scope of the galactic civil war.
From Spectre of the Past onward, yes. Still, I've seen plenty of people insist this is a retcon of The Thrawn Trilogy, and a bad one, and the Thrawn was better when he was a conventional Imperial, albeit slightly kinder and more pragmatic than the average.
I don't agree with them - but it does sometimes seem like a rather widespread attitude.