If you believe that content you submit to websites is not examined by interested parties associated with that website, then - I have a bridge to sell you... or perhaps I should say a Google account to give you, free of charge.
> In short: your source code is stored in plaintext for the minimum time feasible to be able to process your request. After that, it is discarded and is inaccessible. In very rare cases your code may be kept for a little longer (at most a week) to help debug issues in Compiler Explorer.
My bias may be showing, being a ctf-scene enthusiast. Most of these (tools on dogbolt) look like foss utilities you can run yourself. The rest, I'd imagine you are welcome to pay for licenses. Binary Ninja in particular, while maybe not cheap for everybody, isn't sky-high.
1. If a third-party does their link-shortening, which gets the program text, then - it doesn't matter how nice they are. And if that party is Google then, well...
2. The language you quoted still allows them to keep effectively all information through mining aspects of it rather than keeping the entire code as a stretch of plain text.
3. If GodBolt or its servers are subject to US law, then there might be National Security Letters which compel it to pass information on to the US government, and keep that secret. And this is not a conspiracy theory, this what Snowden has exposed about Google, Apple, Microsoft, Yahoo etc.
So - I respect and like the GodBolt'ers, but you don't have a good guarantee of your data being kept private.
I think they changed it recently, but all of the code you submit is embedded in the URL. (after an anchor) So, it's stored by google's link shortening service, but is resubmitted to the site every time you load it.