We have had both for years.
7mm-08 (7.2mm) will do/has done a fine job with all the different bullets that have been mentioned I'm sure. Ours likes all 140 gr. I've feed it.
I grab my daughters anytime I'm going to be in the woods because it is a youth model and carries well.
BUT FACT.......... the .30 (7.82mm) caliber bullet is bigger. To me that means a bigger hole going in and probably gonna come out the other side.