Having just exercised my 7 day option and separated as of 1 June, I am glad I did. The 365 is forcing a ton of dudes to say "see ya" family comes first. If memory serves me, we were able to fight this war without 365s, this "continuity" excuse is crap and throws morale under the bus.
FWIW, when you complete an ADSC, the AF can have you serve up to 6 months beyond the date you drop papers. If you 7 day opt, you can pick a sep date much sooner than that, usually a few weeks to a month, that's about the min time it takes AFPC to approve.