Enby here.
Absolutely not.
Non-binary means you represent yourself outside of both genders as in, you identify as neither, you're just an individual. Alternatively, you can also identify as genderfluid, being that you're a mix of both but still don't identify yourself as strongly either gender.
But regarding anything transgender-related? No. Transgender is you still identifying by a gender and changing over to that other gender. So long as you identify, strongly, as one or both genders to be either, you are not non-binary. So, please don't confuse the two.
SO: The key difference between non-binary and trans is pretty clear. Non-Binary identifies OUTSIDE of genders, all and any. Transgenders identifies INSIDE genders, both or any. The only key trait they both share is - Genderfluid. But even then, the two don't correspond eachother. And to clarify the shared Genderfluid label;
When you're Non-Binary and Genderfluid, you take numerous attributes and traits from either gender, but you do not strongly represent either gender. You can behave like a man outside, feel female inside and still be like "I still see myself as just a person, no gender." and vice versa.
When you're Transgender and Genderfluid, you take numerous attributes and traits from either gender, so you identify as both genders and you go about that however you wish.
...No. That's just you re-defining an already established term and trying to expand upon, beyond that establishment.
No, wordplay is not fun, it just creates confusion and this is exactly why, it's harder for some LGBTQ+ members to get acceptance. Because, you there stirring the pot of wordplay, just confuses people into identity chaos. Can you try explaining to someone who doesn't know or understand, but is curious, about certain members from the community with a straight face?
Without them idly nodding before probably going "okay, cool" but not in a "I totally understand" way but more like a dismissive way because internally they're fucking confused and probably are more turned off from understanding LGBTQ+ individuals than before.
That's you ruining it for them. So no, wordplay is NOT fun. Fuck off with that!