The way the plugins Setup screen is formatted might be a way to solve for this.
Each value has a Title and what looks like a UUID (guessing here…)

Pretty Posie/600 63fccc5d1c828b2658663717c666ad824049091e
The copy buttons appears to only copy the UUID not the title as well. This would be a nice start for a first time setup, however posses an issue when working with multiple themes. You wouldn't want to overwrite the previous title or UUIDs. Perhaps a copy all and a more discreet option like the one provided currently