This may be true, but it is necessary to exhaust the mental activities in order to receive the inspiration. Nothing great has ever been achieved by simply stifling the activity of the mind.
On the contrary, everything is achieved when the mind is stilled and one is a state of pure awareness. This is why in Zen there is the philosophy of Wu Wei(do nothing/effortless effort) It does not literally mean do nothing, it means doing without any kind of mental activity, to be in pure awareness.
It is easy to see the virtue of still mind, when one sees the vice of a noisy mind. If one tries to do anything with a noisy mind one finds how difficult it is to do e.g. listening to somebody while your mind is full of obsessive-compulsive thoughts. On the other hand, when the mind is clear doing is effortless.
Patanjali describes to us how the mind’s activities are undesirable. They are unnecessary noise that occlude all of our perception. Hence by getting rid of all that noise, we attain a pure crystal clear perception and hence the truth is unveiled to us of everything.
Inspiration is something we receive, it is not something we create. It is revelation from a higher faculty within us that knows without knowing. In the case of Archimedes(not Galileo, my bad), his higher faculty knew the principle of hydrostatics; Newton’s higher faculty knew the principle of gravitation; Mozart’s higher faculty knew the principles of musical composition. In like manner, the higher faculty within us knows the truth about everything, not just knows, but has control and mastery of everything. It is this higher wisdom and power that is awakened in Yoga(Patanjali’s third chapter describing the technique of Samyama on various objects shows the kind of wisdom and power that can be drawn from the higher faculty)
Inspiration does not happen in a vacuum of course. One must have the basics to begin with. It is unlikely that somebody could come up with perfect composed poems without having some basic knowledge of poetry and language. Nor is likely that Archimedes would have discovered the principle of hydrostatics without having some knowledge of mathematics. The intuition merely fills in the knowledge.
If you ask any great mathematician, physicist, scientist, singer or poet how they achieve the greatness, most will say that it just comes to them(as if revealed) Einstein famously said that his knowledge just came to him. The Indian mathematician Ramunjana wrote many theorems in mathematics, but never gave proof for them, because he said it just came to him. His background in mathematics was only to highschool level, yet his knowledge surpassed the best mathematicians in Oxford and Cambridge in his time.
Perhaps you could be a great music writer, if you let the inspiration just come to you. That is unlikely to happen, because of your reluctance to let go of the minds activities. You think you can create inspiration - that is like saying we can create growth in the plant 