Yes. :D Lelouch is sooo encouraging him. He's inviting the end to their friendship. I think it also has something to do with him cutting the lines to his heart once and for all, since holding to them serves no useful purpose. And it's ironic : Suzaku is finally doing things for himself instead of Britannia, instead of the greater goal, which is what Lelouch wanted him to all along. Plus there's how Suzaku is now finally who he is, but Lelouch? Lelouch has successfully convinced himself to be someone he isn't. And the most fucked up part? Suzaku now has a reason to live that isn't Euphemia, and that's what Lelouch's Friendship Heart wanted all along. (Is this a case example of "Be careful what you wish for, you just might get it (in all the wrong ways)?")

Part of that was, I think, Suzaku's also trying to get Lelouch to say something to negate all that. His hate and the explanation and what he's about to do and what VV told him about---by making a threat, most people would try to negate it if they have any linger affection/hesitation. Not what happened. Thus why his hand tightened at "Go ahead and hate", and that gasp/sob at "We're friends". I am also pretty sure he still cares about the seitokai, though.

It's said Suzaku would become a revenge monster. I can see Suzaku being the worst monster of the two; once he's decided something, Suzaku doesn't stay his hand. And right now, Suzaku doesn't have anything left to lose. That position won't help you if you're doing big things like Lelouch, but if you're a lone man trying to wreak havoc? Oh yes, yes it does.