Hi,
Do you mean automatic updates that come from the client side, i.e. the feature in recent WP versions, or ones that are forced by the server, i.e. ones that wordpress.org very rarely force upon sites for some plugins when there’s a critical security release?
The former of those is done all on the client side, not the server. If you’re using my client class – https://github.com/DavidAnderson684/simba-plugin-manager-updater – then yes, it supports those. For the latter, I can’t remember what the flag to set in the response is, as I’ve never used it. Someone would need to read through the code in WordPress core to find out what it is looking for.
David