If it's Rudy vs Lola, Lola will be more effective because if you seriously want to win with Rudy, I'd rather you go with Kostner. Lola protects you from that KO death, and although Rudy helps you to KO others, there are times where because of the Berzerk bonus, Rudy's ability is useless. For example... Losing with Rudy in Elo, then attacking with Cortez after that, your opponent will have 2 life with or without fury on Cortez. So in this case it's better with Lola.
Another instance where Lola outshines Rudy and DRs is against -life, Min. 0 like Praxie and Kazayan. If you lose against Praxie with Lola, you get the + life before they minus yours. So if you have 4 life, you will have 3 life afterwards instead of getting KO'ed.
If it's Rudy vs DR like Yookie or Jane, you need to take note of +life per damage. That's the meanest thing that can happen.