I could SWEAR there was a keyboard command to do this.
Based on your OP, I tried looking for one first. If there is a keyboard shortcut, it's not any single key, function (F1-F12) key, CTRL-key, or ALT-key. And if it's more complicated than that (if, for example, it's CTRL-ALT-SHIFT-key) it ought to be documented somewhere.
When that route failed, I went to the GOG directory and sorted the files by date modified. MAGIC.SET was near the top, mixed in with some temp files and the savegames; a quick look at its contents in Notepad told me I was on the right track. Sure enough, when I pulled it from the folder and ran the game, the HoF came up empty; when I put it back (overwriting the new MAGIC.SET the game generated in its absence) the scores reappeared.