At night, once villagers are in bed. If anything touches the bed, villagers fly away. In the morning, they warp back. I made a video of some of the events.
I also noticed that sometimes they will freeze in a position. Sometimes you can not touch them and other times you can. Same with iron golems.
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Note that this is fixed in the 1.16.200 update

Thank you for your report!
We're tracking this issue in MCPE-101202, so this ticket is being resolved and linked as a duplicate.
That ticket has already been resolved as Fixed. The fix will arrive in a future version or is already included in the latest development version of the game; you can check the Fix Version/s field in that ticket to learn more.
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Thank you for your report!
We're tracking this issue in MCPE-101202, so this ticket is being resolved and linked as a duplicate.
That ticket has already been resolved as Fixed. The fix will arrive in a future version or is already included in the latest development version of the game; you can check the Fix Version/s field in that ticket to learn more.
If you haven't already, you might like to make use of the search feature to see if the issue has already been mentioned.
Quick Links:
📓 Bug Tracker Guidelines – 💬 Community Support – 📧 Mojang Support
📓 Project Summary – ✍️ Feedback and Suggestions – 📖 Game Wiki
-- I am a bot. This action was performed automatically! Please report any issues on Discord or Reddit
Note that this is fixed in the 1.16.200 update