C11 - omitting potentially infinite loop by the compiler

Assume the following code

struct a {
    unsigned cntr;
};

void boo(struct a *v) {
    v->cntr++;
    while(v->cntr > 1);
}

I wonder if the compiler is allowed to omit the while loop inside boo() due to the following statement in the C11 standard:

An iteration statement whose controlling expression is not a constant expression,¹⁵⁶⁾ that performs no input/output operations, does not access volatile objects, and performs no synchronization or atomic operations in its body, controlling expression, or (in the case of a for statement) its expression-3, may be assumed by the implementation to terminate.¹⁵⁷⁾

---

¹⁵⁷⁾_{This is intended to allow compiler transformations such as removal of empty loops even when termination cannot be proven.}

Can v->cntr, in the controlling expression, be considered as a synchronization since v may be a pointer to a global structure which can be modified externally (for example by another thread)?

Additional question. Is the compiler allowed not to re-read v->cntr on each iteration if v is not defined as volatile?