What am I missing about shadows in Eevee?

I removed the three faces facing the camera and put a bevel on the rest of the default cube, added a spotlight and got this:

That looks shockingly crap, so what am I missing about Eevee? Default settings aren’t any good? What settings to I tweak to fix this? Why are these the default settings in the first place?

EDIT: Cycles for comparison, and yes, I get that they’re completely different and I shouldn’t expect the same results, but just in case anyone wonders what it should look like…

There exist a fairly new video on youtube how to adjust lighting settings in Eeve, although it’s too late for me right now to start looking.

You need to turn on contact shadows in the light properties.

Check this post (and whole topic if you wish):