SQLite is so very extremely popular that I don’t think you have to worry about corruption under Wine—if it was broken, a lot of software would be broken.
I'm not considering Wine emulation in isolation, I'm considering a scenario where someone would use this as a UI to inspect a SQLite database powering for example a Linux based NodeJS or PHP application.
Would the semantics of the Linux based application (with SQLite compiled for Linux) correspond to the UI (with SQLite compiled for Windows) running through an API emulation layer (Wine) that potentially translates semantics to run Windows applications as "natively" as possible.
Sure it might, but I wouldn't put money on it until verified.
(Luckily backing up SQLite databases isn't too hard)