On the A320, the primary job of the PF until 400 feet is to establish a proper flight path, trim the rudder and engage the autopilot. By the time this is all done and the AP is on, you're reaching 400 feet. Pull HDG, ask the PM to activate the secondary flight plan if relevant. After that, the PF takes communication so that the PM can focus on the ECAM. And that seems to be when most would call ATC.
The rationale I was given for this back in the day was that the order of priority of tasks is "fly, navigate, communicate, manage, monitor". "Fly" is establishing the correct flight path until AP on. "Navigate" is HDG, secondary if necessary. The ECAM actions fall under "manage". An engine flameout is not a fire, it does not bear the same degree of time criticality. The few seconds used for the ATC call before the ECAM actions won't matter much on the grand scheme of things. In the sim, most of the time this call and the ECAM actions until the "Engine secured" callout take about as much time as it takes to reach the OEI acceleration altitude, if not less.