But Minecraft itself is in Java. And it does get pretty slow even with low settings as compared to other games on high settings.
As with any performance question, this is hard to actually say in general. In the Benchmarks game(1), there are several benchmarks where Rust has no unsafe code and is still faster than C.
1: personal note: ugh, all usual caveats apply, etc.
I'll note that this kind of skepticism has been going on since John Backus[1] was heckled over using (ahem, "wasting") then-precious CPU time on compiling code using the first versions of FORTRAN. His detractors (and everyone else) quickly learned the value of conserving programmer time vs. CPU time.
You have a ton of work to do and cannot take more than 16.7ms (60Hz) to do it in period. Heck given the recent move some have made for 144Hz monitors it leaves you with less than half the time (6.9ms).
Not to say that C++ is the only way to pull it off, just that games are a soft-real-time system which therefore have stricter requirements for performance.
In any case, the route people will hopefully take is to write the code in the obvious way, with bounds checks and all, and profile. Functions which take significant amounts of time can then be optimised more manually (and, bounds checks usually aren't the bottleneck).
I have personally never seen the bounds checks be a problem except in microbenchmark-like things, and those are almost always compiler bugs involving missed optimizations that the compiler could have done but does not presently. I think "the design of Rust does not guarantee the possibility of matching C++ performance unless you use unsafe code" is too strong a statement.
https://www.reddit.com/r/rust/comments/2nlis8/which_classes_...
And although it would probably make a good jumping-off point for anyone who wanted to develop a Minecraft clone, the original goal of Hematite was only to serve as a proof-of-concept of rendering 3D graphics in Rust.
The most egregious stutter though is when Minecraft generates new chunks.
Minecraft is not a well-coded game. ;)