Crowley's confession-
...was in 33 AD, yes? Or even earlier, honestly, as the below could have just been some bonus romance by then... Is that what we're doing here? 😜 When everyone says 'Crowley's confession', I don't think of 2.06. I think of the Golgotha scene.
In it, Aziraphale is expressing some jealousy over Crowley's reputation as Asmodeus, the Demonic Prince of Lust. By telling Aziraphale what her true name is now, Crowley is saying how much she's Aziraphale's. The name, as we saw in S2, only means something to the two of them and refers to an important moment between them. Crowley saying their name in response to Aziraphale's query here is saying no, I'm yours. You all are missing out on the top shelf smolder of the passion of the Crowley at The Passion of The Christ if you think Crowley is just getting around to telling Aziraphale how he feels in 2.06.
The flashbacks weren't just put here to twinkle, ya know?