First we do plan on exposing hooks to allow scripting languages to be plugged in to Bevy. We actually already have a pull request out for that.
However my default answer to the scripting question is that it is a non-goal for Bevy, and is in fact maybe even an anti-feature. I want Rust to be the "one language" people use to build Bevy games. I think a cohesive ecosystem is an incredibly important part of an engine's success. If half of Bevy devs use rust and the other half use C#, then compatibility and interop become a huge problem. The Rust language choice does set a high bar, but Bevy doesn't need to be all things to all people. Additionally, the Bevy API is a Rust API. Defining FFI on top means we need a second api surface that is the "lowest common denominator" (aka a C api). This both increases maintenance burden and creates the "rust experience" and the "everyone else" experience.
In the near future 3rd party Bevy scripting plugins will start popping up, but I doubt I will ever officially endorse them.
Adding scripting languages into the mix removes this benefit and cuts down on the number of people capable of contributing back to the engine.
If it were possible, your iteration times could be ridiculously low. Play the game until the bossfight you're iterating on. Dump it out to disk. Edit the code, recompile and run from saved state in a couple of seconds? That sounds amazing.
Unity has pretty good edit and continue for simple stuff, but it quickly falls apart once you start doing non trivial things.
Plus, in Rust, if you mark types as Serialize you can serialize nearly anything you want. And it seems like Bevy makes full use of the powerful Rust type system.
So I’d guess “yes, you can probably easily serialize the game state in most cases”.
If the base engine supplies you with full serialization support for the inbuilt features and a list of rules to follow to maintain it, you're golden.
Just a single anecdote but can be important to keep in mind. As well, some types of scripting languages can have their own productivity problems as projects get large. Lack of types making code hard to follow, bugs harder to track down, refactors riskier etc.