[determinism] differences of compiled emscripten (wasm) VS .so (linux)

Could someone explain me if there are differences between the compiled core emscripten (wasm) VS .so (linux) in the context of determinism?

I compiled the WASM version for browser where clients would play games, and now I would like to create an authoritative server with the linux compiled version (.so). Both versions were compiled with same git commit hash and using same Retroarch commit hash too. I need to acquire determinism between those versions, so the server mirrors the clients play. However, when replicating client's inputs the server de-syncs.

I am able to replay successfully the client inputs and acquired determinism, unfortunately the server de-syncs replaying the same inputs, even when using same emulator/core versions, config and rom.

No files, tests, or entry points are named. Start by reproducing the successful browser replay and the server desynchronization with the same commits, emulator/core versions, configuration, ROM, and inputs, then identify the first divergent state. Done would require a documented explanation of the cross-build difference and a reproducible path to deterministic server replay.