Just did it.  The weight is indeed standardized. The forward hook used for verification is as:
def verify_WS(module, input, output):
    w = getattr(module, 'weight_0')
    w_mean = w.mean(dim=0, keepdim=True)
    w = w - w_mean
    std = w.std(dim=0, keepdim=True) + 1e-5
    w = w / std

    w2 = getattr(module, 'weight')

    mask = w != w2
    if mask.any():
        d = torch.abs(w-w2)
        print('d=', d)
    else:
        print('WS verification passed')

The forward process seems OK.