Could be too much voltage drop, or also could be the lock actuators are weak. Another possibility is the lock mechanisms in the door latches are (as you mentioned)are in need of lubrication.
Sometimes the internals of the latch rust and no amount of trying will free them up like new again and you have to replace them.
If that's the case, I have had some success by removing the latches and soaking them in muriatic acid for a while. Then rinse with water to neutralize the acid and thoroughly douse them with white lithium spray grease. It will remove the rust but doesn't affect any plastic or rubber at all.
If you've never used the acid before,,,,,,,,a hint. Do this ONLY outdoors and wear a paint respirator. The fumes are nasty and will travel to other areas of the garage and next thing you know, anything bare steel will start to rust. Don't ask me how I know this

Of course, you certainly don't want to breathe the fumes or get the acid on your skin so,,,,,,,,,,,,USE EXTREME CAUTION!