That is more likely due to the type system than manual memory management. People after all say the same thing about Haskell, which also has powerful types, but is garbage collected.
There are two kinds of code errors to worry about: wrong answers (2+2=5), and divergence (a fancy name for crashing, i.e. 2+2=segmentation fault). In a jet engine controller, wrong answers and segfaults both potentially cause fatalities, so you better not use GC. Ada is made for that.
In (say) a compiler, bugs leading to wrong answers (incorrect code emitted) might cause potential fatalities, but if the compiler segfaults from running out of memory, that's only annoying (the developer must find a workaround, use a bigger computer, or whatever). So it is fine to write a compiler in a GC'd language even if its memory footprint and timing characteristics are hard to verify. If you wrote a compiler in Ada you'd spend a bunch of time with manual memory management, for little benefit.
In fact the most serious formally verified compiler (compcert.inria.fr) is written in Coq, which you can think of as an ultra precise dialect of OCaml and which is GC'd (Coq in this case generates OCaml code that uses the OCaml runtime. It can also generate Haskell etc.).
To implement the Actor Model in Ada one puts all variables in the body of the tasks that are in the application. It makes them not visible from other tasks. So what you need to keep in mind when developing is for a task to never send an access-to-object type variable to another task. If there is a need to do that you need to use Ada/SPARK or Rust to get the proper ownership checking done. Btw, Codepeer (static code analysis tool for Ada) finds race-conditions, has deadlock detection, and warns if there are variables that may be read or written to by more than one task.
If one sticks to vanilla Ada (not SPARK) one could develop an application based on libadalang that parses all the Ada source code and checks that all task entries have input arguments that do not contain any access-to-object types (to find instances where a developer has sent an access-to-object variable to another task by mistake). Such a tool does not exist but libadalang exists to allow the creation of custom rules checking on one's Ada code.