In this community, your regiment name is much more than just a number.
It's the only way you have to be identifyed and it will tell much more than a long text: it will in a few seconds show how serious/skilled/stable is your regiment and people in it.
That's why each regiment should have a unique number. Exceptions can be done with geographical situation. For example there is a 45eNA but we are not from structure. NA and EU communities are totally different, attending différents events, so never asked them to change their name. But if another french structure would renamed, it would be totally different.
I mean regimental leaders and people composing this regiment worked hard to build their image and reputation. By picking his name, you will just have the entiere community angry about you. There is no rules abouts it but this is what it's goiing to happen.
So it's up to you, but if would be successfull on this game, just make your own name showing what you are, and not how you would like to be seen.