Wait hold up, I just realized: You thought Riryoku Field could stop Toon Kingdom? Seriously people, read your damn cards because that is beyond dumbass thinking. Wtf!?
To resolve your debate. I'll give this (maybe?) easy to understand:
http://yugioh.wikia.com/wiki/Toon_Kingdom
You'll see Continuous-like there
http://yugioh.wikia.com/wiki/Continuous-like_Effect
Continuous is applied, do not start a Chain
http://yugioh.wikia.com/wiki/Trigger-like_Effect
Trigger is activated, start a Chain, easy rule=colon- e.g. "Once per turn: "