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...

Frankly, I personally didn't know about any such things! So you will never see that I have used an uppercase B while writing bitcoin within a sentence. But this is something new I have learnt today! We all are aware of symbol and codes though but definitely the bifurcation between title and unit was not known to many! Quite frankly, I don't care as long as bitcoin price is holding its ground because all we care about to get rich!