The puddle lamps should all come on when any door is open. Open one door, all 4 door puddles illuminate. The dome lamps illuminate based on how the three way switch is positioned. Off, with doors, on without doors. Bulbs would be first to check. If the dome bulbs work without the doors in the on with door setting, then your problem is likely with the door switch. If the puddles dont illuminate on all doors with one door open, then the prob is likely the individual door plunger switch. If the puddles on all other doorsv light but not the one on the open door, could be bulb, plunger switch or wiring on that door.

No delay on, might have a dely off after closing doors. Dont think that was available on the gen 1 w126, maybe gen 2 1986-91.

Hope that helps

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Stable Mates:
1987 300TD 310K mi (Hans)
2008 Jeep Grand Cherokee OM642 165k mi (Benzrokee)