Elevator bug Byzantium landing pad

[GammaReagan]

The following is a bug that has occurred during each of my play throughs (currently I'm on my 6th). It's nothing dramatic and doesn't ruin the gameplay in any way but still it's a bit annoying. 

Any time after having landed in Byzantium and gotten to the street level through the elevator for the first time, the elevator's door is closed and there's no way to open it other than leaving the area ("running around the block") and then immediately return. Mostly, upon return, the elevator's door will be open again, but not always. 

At first I thought the bug was triggered after completing the Why Call Them Back From Retirement quest, but now I've realised that it can occur at any point. 

The problem is easily bypassed by simply using fast travelling back and forth between the Unreliable and some point in Byzantium, completely avoiding said elevator so my question is: has anyone else experienced this?