Start of turn 1
Mewtwo used Me First!
Mewtwo used Dragon Tail!
It's super effective!
The foe's Giratina lost 26% of its health!
The foe's Eevee was dragged out!
We checked Circle Throw, which also phazes:
Start of turn 1
Mewtwo used Me First!
Mewtwo used Circle Throw!
It's super effective!
The foe's Lucario lost 67% of its health!
The foe's Eevee was dragged out!
I tested this with user ♠SpumWack♠ and it seems that the phazing does occur. We checked for secondary effects as well:
Start of turn 1
Mewtwo used Me First!
Mewtwo used Bulldoze!
The foe's Groudon lost 30% of its health!
The foe's Groudon's Speed fell!
The foe's Groudon used Bulldoze!
Mewtwo lost 92 HP! (30% of its health)
Mewtwo's Speed fell!
Bulldoze's Speed lowering still occurred.
So it was most likely a GLITCH.