I find it doesn't matter. My last game I didn't get any warmonger, but I still had tons of wars. Someone was always needlessly declaring war on me, getting smoked hard, and then begging for peace.
Only 5 turns after the peace treaty expired, to have them do it again.
I never started a war, the first time I usually never took anything. Killed a dozen units, sent them running, accepted peace. After Russia's third DoW, I took 1 city to teach them a lesson. They didn't learn, so next time I took 4. They still didn't learn so next time, I took everything except one, liberated Ramses, and gave him half of their cities. Otherwise I was at -45 happiness.
I still didn't get war-monger.
Incas declared war a couple times, sent them scurrying away, alexander spent the entire game denouncing me, never DoW though, and the Iroquois also DoW a couple times. I just burnt his cities to the ground. I couldn't be bothered at that point.
So frankly I don't see how having warmonger would really slow it down. There wasn't a lot of time where I wasn't at war or just about to be at war.