A VGPR is not the same thing as a vector register like in SSE4 or AVX. Each addressed register contains a single 32-bit value. A VGPR differs from an SGPR in that each thread in a thread group can have a different value in that register. An SGPR will have a uniform value shared with all threads in a group.
An add instruction on an AMD GPU adds two scalar values. If they're in a VGPR then each thread will add two values unique to that thread. A SIMD ISA as is common on a CPU is different because an add instruction explicitly adds a vector of values. xmm1 stores 128-bits of data. VGPR[1] stores 32-bits of data vectored over 32-64 threads in a thread group.
Without special instructions a thread can't access the VGPR values stored in other threads.
An add instruction on an AMD GPU adds two scalar values. If they're in a VGPR then each thread will add two values unique to that thread. A SIMD ISA as is common on a CPU is different because an add instruction explicitly adds a vector of values. xmm1 stores 128-bits of data. VGPR[1] stores 32-bits of data vectored over 32-64 threads in a thread group.
Without special instructions a thread can't access the VGPR values stored in other threads.