The question is based on the old assumption that there is a correspondence between the western major musical scale and the system of the chakras.
Assuming the existence of such a system as currently taught in the western works, and assuming that the number of chakras is, in fact, seven, the idea that they correspond to our musical notes is an oversimplification of the eastern philosophy of Nada Yoga.
In Nada Yoga (which is linked to the Indian musical system), there is no fixed value for each note. The first note of the scale, although always bearing the same name (Sa) can have varying frequencies. In fact, the starting note/frequency of a scale is set in accordance with the vocal range of the person singing the scale.
On the other hand, in the western musical system, each note corresponds to a specific frequency. This means that by wanting to start with "C" for the first chakra, we end up forcing a living, fluid system into a fixed frame.
I often advise my students (or clients) that rather than telling the body what it should be experiencing, they will have more fun listening to how the body responds to what they are doing. This will allow more insights to occur.
I do the same, each person finds their own root chakra note and we go from there. I think the standardized C root chakra etc. is necessary at times when making recordings, or sets of crystal bowls that at can’t be customized in the moment. I have a set of standardized singing bowls and start on the E bowl for my first chakra.