Fiery War Axe was not “counter-intuitive” but Molten Giant with its “Costs (1) less for each damage your hero has taken.” certainly is. Compare to Frothing Berserker (Whenever a minion takes damage, gain +1 Attack.) which does NOT lose its bonus when you heal the damaged minons.

The problem with your position is that magic covers such a broad range. There is ‘born with the gift’ magic, ‘power from the gods’ magic, and ‘abilities gained through secret knowledge’ magic.

“3) What prevents the guests from hurting each other?”