First of all, Andrei Alexandrescu is not the creator of D.
> With Rust, programmers have to spend most of their mental energy worrying about management of memory, which has largely been automated already.
This is a common misunderstanding. I think the word "automated" is misleading, and suggest that we should look at two phases of memory management: the plan and the execution.
In traditional low-level languages like C, you plan how to manage memory and you write code to execute that plan yourself. Your code may not match the plan, thus all sort of problems ensues.
In languages with GC, you are allowed to not think how to manage memory and GC will execute their own inferred plan... until it is not. At some point you are forced to think how to manage memory and also tune GC and/or code to fit to your belated plan. This point may not be reached (simple scripts) or can be delayed much further (good modern GC), of course, so it still remains very useful.
In (a typical use case of) Rust, you plan how to manage memory but give that plan to the compiler to check if the plan is executed correctly. The compiler also generate code for common executions that you don't have to. So the execution is mostly automated (or rather, delegated), while planning is not.
A common theme here is that you can't avoid at least the planning once you've got past a threshold. If GC would supplant even that planning, you won't need value types at all; isn't that what the generation hypothesis is all about? But many languages with GC but not value types now get them. While it can be argued that Rust's affine typing is not sufficient to capture some common memory management patterns [1], that fact doesn't diminish the value of explicit memory management planning, and thus Rust's.
[1] And I think it is actually true! Indeed, I believe affine typing plus GC can be actually better than affine typing or GC alone (and value types mimic a good subset of this). There are some Rust libraries for tracing GC (e.g. [2]) as a starting point.
[2] https://github.com/Manishearth/rust-gc