As I understand it, we allow Anglicans and Episcopalians to use Catholic parishes as an ecumenical gesture. (And no, I’m not referring to Anglican-Use or Episcopalian-Use Catholics.)
Why is this done? It feels wrong to me. We are so strict about what we allow on an altar – even relics of saints may not be put on top of an altar – yet we let a denomination with Orders we do not recognise celebrate on our altars, so their communion (which is a mere symbol for Christ since it isn’t validly consecrated) is placed on a Catholic altar.
One could argue that it also hints that the Catholic Church recognises their Orders, which of course we do not. It would be even more problematic if a female Anglican/Episcopalian priest were celebrating. Couldn’t that send an unwanted mixed message?