Disassembly implies that you're still distributing binaries, which isn't the case for web-based services. Of course, these models can still likely find vulnerabilities in closed-source websites, but probably not to the same degree, especially if you're trying to minimize your dependency footprint.
If that's your concern, shareware industry developed tools to obfuscate assembly even from the most brilliant hackers.
AI is already superhuman at reading and understanding assembly and decompilation output, especially for obfuscated binaries. I have tried giving the same binary with and without heavy control flow obfuscation to the same model, and it was able to understand the obfuscated one just fine.