Whilst I have not worked as an SM, my experience with teams demonstrates the mindset, values, and principles.
This approach is a great way to demonstrate your attitude and understanding of the role. The agile manifesto was only signed in 2001 so levels of the real experience of the role are still relatively low in the general workforce. However, being able to demonstrate examples of working with courage, focus, commitment, openness, and respect would go a long way to showing the role of a Scrum Master could be a role for you. Furthermore, if you can show how you have worked with teams to be able to demonstrate how they inspected and adapted their work whilst having a transparent team culture then I'd say you'd be a stronger candidate than most. The mindset and attitude of the role holder are one of the most important things for a Scrum Master and whilst you'll never have all of the answers if you let the values and pillars guide you, things should work out OK.
If you want to learn more about the Scrum Values, please click here
Have a look at what other options that could have been explored:
5 points or Life Gained