I have observed this in 1.19.63, but my villagers simply cannot interact with doors at all. They don't close doors behind them when they go to bed at night; they can't open the door to work in the morning if I have closed it for them. The issue is the same regardless of the type of wood door, and in both door positions (front and back of the block space).
I saw one villager go to bed by jumping through the wall of the structure, but most of them don't do that.
It's a huge bummer that this won't be fixed until the next full release. I'm sure that players who use touchscreen controls on bedrock are a smaller demographic, but inability to invert makes the game entirely unplayable. This one bug basically breaks the game completely for people like me.
Can confirm this began with the 1.20 release - Bedrock for Android.