"GC overhead" only matter for extreme realtime applications, like emulators, games, drivers, simulators, etc. a 10msec (or even a 100msec) pause in a request processing isn't gonna even be noticed when your network, database and disk IO are literally orders of magnitude higher. Use Rust for web services if you like the language, comfortable with it, etc. Don't use it because you think it'll give you "more performance" or "reduce GC overhead".

Java, C#, Python, Node, or even PHP as languages will never be your web backend bottleneck. Large scale web services performance tuning is entirely architectural. What caches you keep, how you organize your data, how many network operation does 1 user interaction translate to, stateful vs stateless components etc.