London Underground has cut out one or two doors at the rear of trains at a few tunnel stations ever since they dispensed with guards, who used to operate from the last vehicle, while the driving cab stopped just inside the tunnel headwall, with the starting signal further in front. Needing the driver to be platformed see back along the train puts the rear in tunnel. Seems to be automatic, with PA announcements in the rear car.
DLR uniquely stops with both the front two and rear two doors beyond the platform at short stations with 3-car trains.
It can actually be the front doors or the rear doors or both the front doors and the rear doors depending on the station and platform. It varies a lot throughout the network.
On the S Stock the short platform announcements only play in the carriages with doors that will not open. On the 1995 Stock and DLR Stock the short platform announcements play throughout the entire train.
The example that you mention of the DLR is not unique to them. Bayswater on both platforms also keeps the front 2 doors and rear 2 doors shut just like the DLR stations.
This is the full list of short platforms below by station and platform. It shows which doors cut cut out at each station and each platform at that station.
Acton Town - P4 (EB):
• S7 - 1R - rear 1 door cutout
• 1973 - all doors open
Baker Street - P5 (WB):
• S7 - 1F & 3R - front 1 door and rear 3 doors cutout
Baker Street - P6 (EB):
• S7 - 2F & 1R - front 2 doors and rear 1 door cutout
Barbican - P1 (EB):
• S7 - all doors open
• S8 - 2R - rear 2 doors cutout
Barbican - P2 (WB):
• S7 - all doors open
• S8 - 1F & 1R - front 1 door and rear 1 door cutout
Bayswater - P1 (SB):
• S7 - 2F & 2R - front 2 doors and rear 2 doors cutout
Bayswater - P2 (NB):
• S7 - 2F & 2R - front 2 doors and rear 2 doors cutout
Camden Town - P3 (NB):
• 1995 - 1R - rear 1 doors cutout
Charing Cross - P5 (NB):
• 1995 - 1F - front 1 doors cutout
Charing Cross - P6 (SB):
• 1995 - 1R - rear 1 doors cutout
Clapham Common - P2 (SB):
• 1995 - 1R - rear 1 doors cutout
Cutty Sark - P1 (SB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Cutty Sark - P2 (NB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Ealing Broadway - P7 (EB/WB):
• S7 - 1D - rear 1 door (arr) or front 1 door (dep) cutout
Ealing Common - P1 (NB):
• S7 - 1F - front 1 door cutout
• 1973 - all doors open
Ealing Common - P2 (SB):
• S7 - 2R - rear 2 doors cutout
• 1973 - all doors open
Eastcote - P1 (WB):
• S8 - 1R - rear 1 door cutout
Elverson Road - P1 (SB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Elverson Road - P2 (NB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Euston - P6 (SB):
• 1995 - 1R - rear 1 doors cutout
Gallions Reach - P1 (NB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Gallions Reach - P2 (SB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Gloucester Road - P1 (WB):
• S7 - 1F & 1R - front 1 door and rear 1 door cutout
Gloucester Road - P2 (WB):
• S7 - 1F & 1R - front 1 door and rear 1 door cutout
Goldhawk Road - P1 (NB):
• S7 - 1F - front 1 door cutout
Great Portland Street - P1 (WB):
• S7 - all doors open
• S8 - 1R - rear 1 door cutout
Great Portland Street - P2 (EB):
• S7 - all doors open
• S8 - 1R - rear 1 door cutout
Hammersmith - P3 (NB/SB):
• S7 - 1D - rear 1 door (arr) or front 1 door (dep) cutout
Hampstead - P1 (NB):
• 1995 - 1R - rear 1 doors cutout
Harrow On The Hill - P4 (NB):
• S8 - 1R - rear 1 door cutout
Monument - P1 (WB):
• S7 - 1R - rear 1 door cutout
Monument - P2 (EB):
• S7 - 1F - front 1 door cutout
Moorgate - P8 (SB):
• 1995 - 1F - front 1 doors
Notting Hill Gate - P1 (SB):
• S7 - 2F & 2R - front 2 doors and rear 2 doors cutout
Notting Hill Gate - P2 (NB):
• S7 - 1F & 2R - front 1 door and rear 2 doors cutout
Paddington - P1 (SB):
• S7 - 1F & 2R - front 1 door and rear 2 doors cutout
Paddington - P2 (NB):
• S7 - 1F & 2R - front 1 door and rear 2 doors cutout
Parsons Green - P1 (SB):
• S7 - 1R - rear 1 door cutout
Rayners Lane - P2 (EB):
• S8 - 1R - rear 1 door cutout
Royal Albert - P1 (EB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Royal Albert - P2 (WB):
• DLR - 2F & 2R - front 2 doors and rear 2 doors cutout
Temple - P1 (WB):
• S7 - 1F - front 1 door cutout
Temple - P2 (EB):
• S7 - 1R - rear 1 door cutout
West Kensington - P2 (EB):
• S7 - 1R - rear 1 door cutout
So it is mainly at SSL stations (Circle Line / District Line / Hammersmith & City Line / Metropolitan Line) plus a couple of Northern Line stations and DLR stations. It is indeed all automatic and the ASDO automatically keeps the relevant doors shut without the driver needing to do anything.