"I suppose you could say it has value to you because you came out ahead."
No suppose about it. It has value because someone else thought it had value, and exchanged it for that.
"However it is not economically productive and on balance has no real value. "
That's pretty much the definition of money. It's better if it doesn't have real value (like currancy) so you don't have awkward situations like a 2p coin being worth 4p in scrap value.
Money is an entirely fictional human creation, that is in no way connected to any real thing.
Now, you won't get taught that until you're about a year into economics at university, because people would get very upset with the realization that it's all monopoly money and is only worth what someone else will give you for it.
The best thing about crypto (IMHO) is it forces a bit of discussion as regards to what is money. Although there is a bit of the foamy mouthed "these magic beans are magic, those other beans aren't" rather than the more helpful observations. Like how there is considerably more money than stuff. You could buy *everything* in the world*, all the companies, all the land, all the land rights, all goods, everything that exists in the real world, for roughly one seventh of the money that currently exists. Exactly why this is the case is left up to the reader.
Oh, and if we re-distributed all the money equally, every person in the world would have roughly 750k USD each.
* in practise you couldn't, as prices would rise in response