All of this is false.

1) An allocated memory chunk cannot outlive its arena (leaks are impossible). You probably mean a stale reference? The arena is put at such a level in the memory hierarchy that this bug becomes impossible. The bug here would be that the allocation was done in the wrong arena. In C this would be avoided by putting temporary arenas in a local function scope by passing them as parameters. Fool proof references require C++ smart pointers. This is one example of you mixing concepts. Smart pointers/containers can still be used with arenas.

2) You mix up arenas and bump allocators. An arena can also use a pool allocator for example. Arena refers to the concept of scoping blocks of allocations.

3) Individual deallocations and arenas are not exclusive, for example using pools. But even with bump allocators free lists are a thing (and linked lists are more attractive in bump allocators because of locality).

1) In practice, this is not true, especially if you implement unwinding in your arena.

You probably don't want to have an Arena in main, and you do all of your allocations from there, for example. That "just" leaks everything.

Here's a classic Arena-with-rewind bug:

  {
    Arena a;
    avec<int> v(a);
    {
      RewindMark rm(a);
      v.push(1); v.push(1); // Trigger resize
    }
    v[2] // Oh no! The underlying data array has been deallocated
  }