But the idea of it being a "currency" requires it to have some value outside of it being stored (IE someone wants to buy it).

If the only reason for it existing is to show how many you have, it has zero value outside the possible curiosity of "Having the largest number that happens to match this set of arbitrary mathematical restrictions"

Storing value and being freely transferrable is an intrinsic value. That establishes some worth > 0.

What external transaction use does is even out the day to day value changes and decrease volitility (transaction volume >> trading volume).

Without that, you'd see some value placed on it, but a large price moves as trading affects it. Come to think of it, that looks a lot like... hmm.