You'd get the original Digimon World. Not a bad game, actually. Different moves take a certain amount of time to "load up" before being executed. A Digimon using a move that took a while, like Buster Dive, could be canceled out by quicker moves like Sonic Jab. Meanwhile, Speed would not determine who attacks first, but how often each one attacks.
Of course, it wouldn't work out as well without the game's other features. Features that defined the game outside of battle were the fact that evolutions were determined by parameters such as stats, weight, happiness, care mistakes, etc. (Imagine your partner being like Eevee or Tyrouge no matter who you had) The fact that you raise them from birth, rather than caught them, would only work in conjunction with the strength purely being determined by stats, no level. To make sure that you can't mindlessly max everything out like you can in many Pokemon games, they died of old age after a while. That meant you had to learn how to make the most of your time, balancing your stat training just right in order to get anywhere in the game.