A carrier neutral data center is standard requirements for many and they don't look at a facility unless it is carrier neutral.
If you open your eyes and look at those whose business model is not aligned with carrier neutral, then you may realize carrier neutral is a dirty word that is offensive. The question you need to ask is do you want to work with those who find "carrier neutral" offensive. If you do, then you should not make use of the words "carrier neutral."
I made this realization 6 months ago, and it has allowed me to look at new business opportunities. In Japan on vacation it even helped me see something that was right in front of me for years. NTT, KDDI, Softbank are the major carriers fiercely competing.
If you dig deeper one of these companies would not only find carrier neutral offensive there are others in positions of influence who would also be offended.
Being offensive does work when you are among like minded people. Below is George Carlin's infamous 7 dirty words skit. It is funny to many and there is another group who find this offensive.