I don't think it was anime-only, but as I said the motivation for Jonouchi and to lesser extent Kaiba was greater. Remember that for Yugi, if he looked in his best interest he had the best shot of beating Kaiba first, then going on to face Marik (or Jonouchi if he won by some miracle) in the finals. But instead, Yugi wanted to leave Kaiba for the finals and go for Marik or Jonouchi instead at first, because he knows facing Marik without a God is too dangerous. In Kaiba's case, facing Marik's Ra with an inferior God was too risky, while taking Yugi's Osiris would be the logical choice (plus, he'd get to flatten his archrival). Jonouchi had the biggest stakes in this because he needed to save his throbbing boner for girlfriend Mai, or her life would be lost to the Shadows within a day.
All in all, Marik may have been itching to kill Yugi, but he honestly didn't care all that much when he lost and had to save Yugi for the finals. If Jonouchi had to face say Kaiba instead of Marik, he'd have been pissed because more than likely, Marik would have slaughtered Yugi's Osiris, killed him, and then gone on to have two Gods before facing whoever he had to duel in the finals. And Jonouchi's odds of beating Kaiba are already very, very slim.