June vs July MCAT: Diff in applying????

Hi!
In kind of a dillema. I obviously would rather take the MCAT July to better prepare, since I don't know if a month is enough, but at the same time I'd rather suck it up and try for June if it means getting an advantage by applying early, so my main question is:

If I take the MCAT June 13th (receive scores July 15th) vs. taking it on July 8th (and receiving scores Aug 13thish)--> is that a big difference in applying (assuming in both cases I would have everything ready to go by the time I receive my scores)?? Some older posts stated that there isn't much of a difference as the secondaries would arrive at the same time whereas other posts said that there is a clear advantage in submitting before August.

Thanks!