I will admit to having violated the manual's stricture against splitting the halves of the calipers now on more than one occasion without apparent adverse consequence. Makes inspection/cleaning a bit easier and reinstallation of the pucks a lot easier. Last time on my V'gon following a sudden almost catastrophic brake failure I only discovered a hairline crack in a caliper bore after I'd split the thing. Might otherwise have wasted time & $ trying to refurbish a piece of junk.
I do like your idea about using a grease gun though, Jim. I do these things infrequently enough that I pretty much always have to reinvent the wheel & turn that little chore into a major donnybrook. The first puck's easy and iirc, if you make that one the one in the half that doesn't have the bleed valve and then split the halves it's pretty easy to seal the bore in the mating surface allowing you to push the other one out. -joe