The headlight washer pump wiring seems to be pretty much a separate system from the rest of the squirters as the head light washers are optional. See the wiring pdf below.
As such, it appears that relay R12 only powers the separate headlight washer pump.
Also if the bumper ever has been off, then perhaps the wiring or hoses were not reconnected. I have an extra relay in my spares kit as a result of just routine replacement of relays in trouble shooting or new parts installs - the air compressor being an example. In others words, a spare relay is not money wasted.
When one pulls the relay, there should be power to some of the recessed pins at some time so if one finds no power there at all under any condition, that is a hint of trouble upstream of the relay.
As such, it appears that relay R12 only powers the separate headlight washer pump.
Also if the bumper ever has been off, then perhaps the wiring or hoses were not reconnected. I have an extra relay in my spares kit as a result of just routine replacement of relays in trouble shooting or new parts installs - the air compressor being an example. In others words, a spare relay is not money wasted.
When one pulls the relay, there should be power to some of the recessed pins at some time so if one finds no power there at all under any condition, that is a hint of trouble upstream of the relay.