Placing any kind of drawer down and placing a hopper botany pot from the mod Botany Pots on it, the contents don't get transferred into the drawer. It works with vanilla barrels or other inventories, but not with the storage drawers. We're playing on minecraft version 1.20.1, using mod version 1.20.1-12.20.4 for fabric. Botany pots is on version 1.20.1-13.0.39.
The modloader version is fabric0.16.5.

Can confirm this. Hopefully this can be addressed soon.

Realize this issue is quite old but I did finally take a closer look at this.

This is arguably not a Storage Drawers problem. BotanyPots is programmed to only export to vanilla Container objects (and by extension, any mod that extends those containers). Since Storage Drawers deals with deep storage, it does not extend Container. Instead it implements Forge's ItemHandler interface, and Fabric's storage API.

On the Forge side, BotanyPots does interface with ItemHandler, and so that works. But on the Fabric side, it does not interact with the Fabric storage API.

I have been recently building out more upgrades and I think in the near future there will be a pull upgrade you could use to extract from the pots instead.