Allow Crossdoc Edit Access without Source Access?

I just got off a meeting with one user as I was setting up their ‘profile’ document. Unfortunately, they could not edit a field without access to the source table, which would give them access to all other user’s profiles so is undesirable. They have edit access on the ‘profile’ document but not the document containing the source table.

What would resolve this, from an end-user perspective, is if a user with edit access to a document could edit tables to the same extent a user with access to the source table could. Is that doable?