Zhao Daiyu's R and her support

By coolavr, in UFS Rules Q & A

Zhao Daiyu's R: After your opponent removes any number of cards from the game, they lose 2 vitality.

Does this R works when using Two Deadly Rings Technique's E or Twilight Embrace?

Example.: E: If this attack deals damage remove ..... from the game.

coolavr said:

Zhao Daiyu's R: After your opponent removes any number of cards from the game, they lose 2 vitality.

Does this R works when using Two Deadly Rings Technique's E or Twilight Embrace?

Example.: E: If this attack deals damage remove ..... from the game.

It does.

In fact it can work twice with Twilight Embrace.

Thanks, is that a friend told me it doesnt work because it says "remove" and not "your opponent removes"