This looks like a territorial issue. The groups coming in are lay Catholic groups not under the direction of the Archbishop of LA or Auxiliary Bishops in LA.
So these lay groups are not canonically speaking under the Archbishop of LA, so that is the context.
The USCCB, all the US Catholic Bishops, just voted for all Catholics on 16 June to pray the Litany of the Sacred Heart of Jesus. Catholic News Agency reported that last night. I think that is what the Church is asking Catholics do to.
Protest, on the other hand, could potentially get testy or violent out in LA as we have seen recently at a local school board where Armenian-Americans who are a large part of a school district showed up to protest the LGBTQ..... curriculum and it resulted in a riot with the LGBTQ/Antifa leftist.
That’s what it sounds like to me too, though without seeing the entire internal memo in context (but only the snippet in the article), it’s hard to say. It may be in reply to enquires about whether the Archdiocese of Los Angeles is officially sponsoring these protests. More info beyond the snippet is needed.
My opinion is that Archbishop Gomez is concerned about the protest getting violent on Friday...
I do not think that he wants his organization to be linked to some violent protestors...
Office of Archbishop already released a statement criticizing Dodgers many weeks ago...I am guessing that Archbishop Gomez did not want to do more than that...