Exactly.
Nevertheless, if bishops, or any other religious leaders, seek to influence political officeholders, elected or appointed, through the use of threats dealing not with the officeholders' conduct of their personal lives but with their exercise of their Constitutional duties, it may be time to re-evaluate whether the organizations they represent are in fact still charitable non-profits only, or whether they have crossed into "political action committee" territory. There's a lot of taxable assets out there.