Yes, it does. Earlier today I had a notification that an update is available. I was using stable 33.0.0 multilang (downloaded and installed manually from Xiaomi.eu) and the notification was for stable 34.0.0.
After updating to 34, I checked again, because Xiaomi.eu shows the latest available firmware to be stable 36.0.0 multilang, but surprise: "you have the latest updates already installed" message (or something like that). So I downloaded it and updated manually.
Conclusion: it does support OTA, but i don't how or when when appear.