The seeming spell description states:
This spell allows you to change the appearance of any number of creatures that you can see within range. You give each target you choose a new, illusory appearance [...] The spell disguises physical appearance as well as clothing, armor, weapons, and equipment. You can make each creature seem 1 foot shorter or taller and appear thin, fat, or in between. You can't change a target's body type, so you must choose a form that has the same basic arrangement of limbs. Otherwise, the extent of the illusion is up to you.
The 14th-level School of Illusion wizard feature Illusory Reality states (PHB p. 118):
When you cast an illusion spell of 1st level or higher, you can choose one inanimate, nonmagical object that is part of the illusion and make that object real [...] The object can't deal damage or otherwise directly harm anyone.
Here's how the situation plays out:
Conan the Barbarian is rushing the Martini Mage, about to cleave off his head with his battle axe.
The Mage yawns idly and snaps his fingers, casting seeming; with seeming, the Martini Mage disguises the battleaxe into the illusion of a limp noodle. He then uses his bonus action to use Illusory Reality, turning the illusion of a limp noodle on the battleaxe into a real limp noodle.
Conan the Barbarian is infuriated and attempts to beat the life out of the mage with his noodle, who laughs idly and sips on his Martini before disintegrating the barbarian.
RAW, does this sequence of events work? I'm trying to make a cheeky mage boss character who thwarts players like this.