Innovation is not just for private firms, large and small. In different ways, it is also for nations, public sector organisations, and for other, ‘third sector’ bodies.
If innovation is for every substantial body in society, it is not for everyone, sadly enough. After all, science and technology require specialisation, so that not every person can be an innovator.
Anyway, innovation is, as we have said, bigger than science and technology alone. It encompasses changes in organisation. It can include changes in design.