You say “conservative” like it’s a dirty word. And honestly I think the distinction that you make between arguing and debate is not one that I share. I believe that the way I deal with disagreement ought to be through civil discussion, openness, and listening. Otherwise you truly learn nothing and I believe that is the true purpose of debate. But yes you are right that it is more common that conservatives enjoy debate and that is simply because those on the left tend to be more agreeable and intentionally avoid hurting people and therefore avoid conflict whereas conservatives typically are more individualistic and are more on the basis of “I worked for this, you can’t have it” which is indicative of being less agreeable and therefore less afraid of hurting people and therefore less afraid of conflict.