For me, I believe those labels don't belong. Rather I believe the focus should be more on growth mindset and the willingness to learn. No student or educator will ever know all there is when it comes to technology. It is important to have a growth mindset rather than a fixed mixed as an approach to learning.I felt like the labels are less relevant if we think more about a willingness to be a risk taker to learn and use technology when appropriate.
Image from: http://carriekepple.com/wp-content/uploads/2015/04/Growth-v-Fixed.jpgA growth mindset as an educator allows you to be open-minded to new ideas and concepts. Educators with a growth mindset enjoy trying to challenge their thinking and push boundaries beyond their current knowledge. An educator with a growth mindset continues to problem solve with resiliency until they are able to come to a suitable solution. 'Not possible' is not the answer, rather an opportunity to try something new.
I believe it is more important to have a willingness to use and explore technology rather than whether or not you grew up using technology as a 'digital native'. When we stop worrying about failing or looking silly for trying, we can allow ourselves the ability to explore a technology to understand it and find deeper and more meaningful uses of it within our classrooms.
Image from: https://chrishildrew.files.wordpress.com/2014/03/fixedgrowth-copy.jpg
Prensky, M. (2001). Digital natives, digital immigrants part 1. On the Horizon, 9(5), p. 1-6. http://dx.doi.org/10.1108/10748120110424816