Do I earn any profits at all?
Profits? No. Profits are the revenue earned from a business after paying expenses. Bitcoin, itself, is not a business. Bitcoin is a currency or an asset class.
By holding Bitcoin you have the opportunity own something (Bitcoin) that can appreciate in value over time. You can then sell this Bitcoin for more than you paid for it and keep the earnings.
Does this make sense?
I think you're mixing up asset appreciation with profit. You can only make profit if you sell your assets.
Speaking of mixing up asset appreciation with profit. The value earned from asset appreciation is called "investment gains", not "profit".