Historical Rules · 18 June 2021
Rule 607.2p
Official source text from the 18 June 2021 Rules release
If a permanent spell has an ability printed on it that allows cards to be exiled while paying a cost to cast it and the permanent that spell becomes has an ability that refers to “cards exiled with [this object],” those abilities are linked. The second ability refers only to cards exiled to pay the cost of the spell that became that permanent.