I think he is suggesting no change to the ongoing type at all.
So if it was Ongoing Fire it still is, but thus ongoing untyped remains untyped.
Otherwise you can indeed change Ongoing Untyped to Ongoing Cold so it will stack with itself by using the weapon to change the Ongoing Untyped to Ongoing Cold alternately each turn - getting what should be non-stacking Ongiong Damage to stack with the Cold Version of itself.
Hence why he put forward a theoretical At-Will that did X Damage + Y Untyped Ongoing Damage. Imagine the following use (using an Action Point to Attack twice)
Attack 1: Activate Frost Weapon's Power
Do X Cold Damage + Y Cold Ongoing Damage
Attack 2: Deactivate Frost Weapon's Power
Do X Damage + Y Untyped Ongoing Damage
Net effect = 2X Damage + 2Y Ongoing Damage (with two saves needed to end it all)
VS
Attack 1: Activate Frost Weapon's Power
Do X Cold Damage + Y Untyped Ongoing Damage
Attack 2: Deactivate Frost Weapon's Power
Do X Damage + Y Untyped Ongoing Damage
Net effect = 2X Damage + Y Ongoing Damage (with one save needed to end it all)
So if it was Ongoing Fire it still is, but thus ongoing untyped remains untyped.
Otherwise you can indeed change Ongoing Untyped to Ongoing Cold so it will stack with itself by using the weapon to change the Ongoing Untyped to Ongoing Cold alternately each turn - getting what should be non-stacking Ongiong Damage to stack with the Cold Version of itself.
Hence why he put forward a theoretical At-Will that did X Damage + Y Untyped Ongoing Damage. Imagine the following use (using an Action Point to Attack twice)
Attack 1: Activate Frost Weapon's Power
Do X Cold Damage + Y Cold Ongoing Damage
Attack 2: Deactivate Frost Weapon's Power
Do X Damage + Y Untyped Ongoing Damage
Net effect = 2X Damage + 2Y Ongoing Damage (with two saves needed to end it all)
VS
Attack 1: Activate Frost Weapon's Power
Do X Cold Damage + Y Untyped Ongoing Damage
Attack 2: Deactivate Frost Weapon's Power
Do X Damage + Y Untyped Ongoing Damage
Net effect = 2X Damage + Y Ongoing Damage (with one save needed to end it all)