The book says this:
Templar Powers: Simon Mercer’s knights may only use their powers on themselves, with the exception of healing and greater healing.
Reading the power list, templar's have the spell succor which reads:
Succor removes one Fatigue level, two with a raise. It can also remove a character’s Shaken status.
Succor may be used to restore consciousness to those who have been Incapacitated due to wounds as well, though the wounds remain. It does not stop bleeding or otherwise stop mortal wounds from worsening, however.
For me, that seems like the base level Lay on Hands from Classic and therefore should be able to cast it on anyone like healing and greater healing and I don't understand why it is restricted.
EDIT: Savage Worlds Deluxe has this for the trappings on succor:
Trappings: Prayer, laying on hands, curative tonic.