System.Int32 contains... another System.Int32
Check out this thread for a laborious discussion of this mystery.
As noted, a 32-bit integer can exist in two varieties. Four bytes anywhere in memory or a CPU register (not just the stack), the fast version. And it can be embedded in System.Object, the boxed version. The declaration for System.Int32 is compatible with the latter. When boxed, it has the typical object header, followed by 4 bytes that stores the value. And those 4 bytes map exactly to the m_value member. Maybe you see why there's no conflict here: m_value is always the fast, non-boxed version. Because there is no such thing as a boxed boxed integer.
Both the language compiler and the JIT compiler are keenly aware of the properties of an Int32. The compiler is responsible for deciding when the integer needs to be boxed and unboxed, it generates the corresponding IL instructions to do so. And it knows what IL instructions are available that allows the integer to be operated on without boxing it first. Readily evident from the methods implemented by System.Int32, it doesn't have an override for operator==() for example. That's done by the CEQ opcode. But it does have an override for Equals(), required to override the Object.Equals() method when the integer is boxed. Your compiler needs to have that same kind of awareness.