The answer is no. I will say that a larger bullet with more energy will kill them faster and that is why larger calibers are used. I have tracked many animals (to far) shot with smaller calibers. I lost some and found some. I could not tell if it was because of not enough gun or not enough shooter. I own a 7mm Rem. Mag. and have never had one run more than 10' . I " probably" could have shot them with a 223 and have the same results, but I personally would not chance it nomatter what the numbers say. I shoot a 150 gr bullet and feel a 70 gr is to light to shoot at that size animal.
To the best of my knowledge the 223 cartridge was designed for the military to wound people so it would take two other soldiers to drag the wounded person. This would take three people out of action instead of one.