Since the goal is to hodl and gain money, someone who has had some bitcoin in their wallet for a while should consider themselves a Bitcoin investor.
For someone to spend bitcoin, he must at one point hold bitcoin before becoming a spender or he should have bought bitcoin, in either case, he is an investor at one point or another.
Some other points you say, not at that point. If a person does not now have bitcoin in his wallet, he should refrain from calling himself an investor in bitcoin because it is the past. He currently has nothing to indicate that he expects to make money from bitcoin in the future. Unless he decides to invest in bitcoin later run a later. When he still has bitcoin in his wallet, that is when he should be addressed as a Bitcoin investor.