I wouldn't say real, I would say more valuable. After all, most fiat money is digital, just like Bitcoin. The difference is that Bitcoin has increasing value due to scarcity and fiat decreasing value due to mass printing.
Bitcoin's value increases due to its adoption, not to its scarcity. If none of us used it, it really wouldn't matter if they were 21,000,000 or 100. The fact that it can't be arbitrarily inflated and the demand increase its (market) value.
Are the Bitcoins that you keep in an online wallet or a cryptocurrency exchange "more real" than the fiat money in a bank account?Nope
The difference is that Bitcoin isn't an IOU. Your balance showed when you login into your bank account isn't fiat. It's an IOU.