I do play Subway every now and then. Here's my thought:
I figured Archeops may Earthquake because if the CPU is programmed to know Rock Slide splits half of its Base Power initially, as that does not OHKO Zapdos, but can still hit Bisharp for super effective damage. Aerodactyl took its chance with Stone Edge to OHKO your Zapdos.
Or, the second side of me is thinking his Aerodactly's Rock Slide is there to hit first for STAB + Choice Band could OHKO/ Zapdos, so Archeon can follow up with Rock Slide for 30% of flinching twice may prevent Bisharp from OHKOing one of his Pokemon. That is if Archeon doesn't just Earthquake to get rid of Bisharp assuming the first Rock Slide flinches Zapdos.
I'd personally Iron Head on the first turn with Bisharp and switch-out Zapdos for Metagross; priority in Choice Banded Bullet Punch means I'm killing something after this phase because the AI will not Earthquake twice for fear Zapdos is untouched for the whole entire turn.