No I don't, but yeah this is correct.
Bitcoin: The title.
bitcoin: The unit.
BTC: ISO code.
₿: The symbol.
That's the least grammatically issues we have on this forum, though...

It doesn't really matter so much as well as the post can give you the idea or thoughts about his post.
But this is a good wake up call so that we are enlightened and knowledgeable on how to use the word "Bitcoin" properly depending on the context.
Still, thank you for informing us so that we can use Bitcoin in a correct grammar and to give you to exact idea that we are trying to point out when we make a thread about it.