i used to be a builder. now i wouldn't really call myself either. i think i'm kind of a diplomat so that i don't have to be pure warmonger. what i mean is, i'm not actually "buildering" in the typical sense, i'm doing whatever, maybe getting ready for a war (since i like to be realllllllllllllllllllllly ready when i declare). but i intensely focus on diplomatic relations so that i can use one or more AIs to warmonger with me or for me if somebody declares on me before i'm ready, or if i want to start crippling somebody ahead of time, etc.
but often what i'm doing is beeling my OCC to a diplo victory, which i don't think is typically what people mean by "builder". some of those games i don't go to war at all. some games i do stuff like gift people techs up to liberalism/FR so that religious tensions go away so that they don't go to war, because i want the world to stay peaceful so that i can trade without them coming at me with those annoying "worst enemy" demands.
i always qualify my posts with "i'm not a warmonger". but when i think about it more, what i really mean is that 95% of the time i don't fight my wars alone. my military power is never restricted to just what you see on the powergraph, i have power i can hire. power i don't have to spend hammers on or pay support for, and that whoever's preparing to bash me doesn't know about. that comes in really handy. downside is the helper gets to take over some cities/resources/land. in OCC that's not a downside as much, since i can't take over the cities myself in any case, altho i might have to raze them from the helper instead of the original owner if i'm going for conquest. in non-OCC it's just a calculated risk/benefit choice.
if "oddball" was an option i'd check that one!